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Finding the Fourth Proportional to 10,097.13, 15,146.91 and 9,544.17

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Solution

The fourth proportional to 10,097.13, 15,146.91 and 9,544.17 is: 14,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.13 : 15,146.91 = 9,544.17 : x
  2. Step 2: Convert to fraction form
    10,097.13/15,146.91 = 9,544.17/x
  3. Step 3: Cross multiply
    10,097.13x = 15,146.91 × 9,544.17
  4. Step 4: Simplify right side
    10,097.13x = 144,564,684.01
  5. Step 5: Solve for x
    x = 144,564,684.01/10,097.13
  6. Step 6: Final answer
    x = 14,317.40

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