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Finding the Fourth Proportional to 9,097.92, 13,646.88 and 2,524.16

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Solution

The fourth proportional to 9,097.92, 13,646.88 and 2,524.16 is: 3,786.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.92 : 13,646.88 = 2,524.16 : x
  2. Step 2: Convert to fraction form
    9,097.92/13,646.88 = 2,524.16/x
  3. Step 3: Cross multiply
    9,097.92x = 13,646.88 × 2,524.16
  4. Step 4: Simplify right side
    9,097.92x = 34,446,942.74
  5. Step 5: Solve for x
    x = 34,446,942.74/9,097.92
  6. Step 6: Final answer
    x = 3,786.24

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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.