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Finding the Fourth Proportional to 9,494.62, 13,097.10 and 5,715.16

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Solution

The fourth proportional to 9,494.62, 13,097.10 and 5,715.16 is: 7,883.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.62 : 13,097.10 = 5,715.16 : x
  2. Step 2: Convert to fraction form
    9,494.62/13,097.10 = 5,715.16/x
  3. Step 3: Cross multiply
    9,494.62x = 13,097.10 × 5,715.16
  4. Step 4: Simplify right side
    9,494.62x = 74,852,022.04
  5. Step 5: Solve for x
    x = 74,852,022.04/9,494.62
  6. Step 6: Final answer
    x = 7,883.62

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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.