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Finding the Fourth Proportional to 9,702,007.10, 13,602,716.50 and 9,702,007.10

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Solution

The fourth proportional to 9,702,007.10, 13,602,716.50 and 9,702,007.10 is: 13,602,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702,007.10 : 13,602,716.50 = 9,702,007.10 : x
  2. Step 2: Convert to fraction form
    9,702,007.10/13,602,716.50 = 9,702,007.10/x
  3. Step 3: Cross multiply
    9,702,007.10x = 13,602,716.50 × 9,702,007.10
  4. Step 4: Simplify right side
    9,702,007.10x = 131,973,652,062,287.14
  5. Step 5: Solve for x
    x = 131,973,652,062,287.14/9,702,007.10
  6. Step 6: Final answer
    x = 13,602,716.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.