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Finding the Fourth Proportional to 9,757.62, 13,466.17 and 5,507.17

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Solution

The fourth proportional to 9,757.62, 13,466.17 and 5,507.17 is: 7,600.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.62 : 13,466.17 = 5,507.17 : x
  2. Step 2: Convert to fraction form
    9,757.62/13,466.17 = 5,507.17/x
  3. Step 3: Cross multiply
    9,757.62x = 13,466.17 × 5,507.17
  4. Step 4: Simplify right side
    9,757.62x = 74,160,505.43
  5. Step 5: Solve for x
    x = 74,160,505.43/9,757.62
  6. Step 6: Final answer
    x = 7,600.27

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