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Finding the Fourth Proportional to 9,977.59, 14,969.43 and 4,716.64

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Solution

The fourth proportional to 9,977.59, 14,969.43 and 4,716.64 is: 7,076.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.59 : 14,969.43 = 4,716.64 : x
  2. Step 2: Convert to fraction form
    9,977.59/14,969.43 = 4,716.64/x
  3. Step 3: Cross multiply
    9,977.59x = 14,969.43 × 4,716.64
  4. Step 4: Simplify right side
    9,977.59x = 70,605,412.32
  5. Step 5: Solve for x
    x = 70,605,412.32/9,977.59
  6. Step 6: Final answer
    x = 7,076.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.