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Finding the Fourth Proportional to 9,860.14, 13,606.42 and 5,383

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Solution

The fourth proportional to 9,860.14, 13,606.42 and 5,383 is: 7,428.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.14 : 13,606.42 = 5,383 : x
  2. Step 2: Convert to fraction form
    9,860.14/13,606.42 = 5,383/x
  3. Step 3: Cross multiply
    9,860.14x = 13,606.42 × 5,383
  4. Step 4: Simplify right side
    9,860.14x = 73,243,358.86
  5. Step 5: Solve for x
    x = 73,243,358.86/9,860.14
  6. Step 6: Final answer
    x = 7,428.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.