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Finding the Fourth Proportional to 9,098.64, 13,646.61 and 2,524.14

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Solution

The fourth proportional to 9,098.64, 13,646.61 and 2,524.14 is: 3,785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.64 : 13,646.61 = 2,524.14 : x
  2. Step 2: Convert to fraction form
    9,098.64/13,646.61 = 2,524.14/x
  3. Step 3: Cross multiply
    9,098.64x = 13,646.61 × 2,524.14
  4. Step 4: Simplify right side
    9,098.64x = 34,445,954.17
  5. Step 5: Solve for x
    x = 34,445,954.17/9,098.64
  6. Step 6: Final answer
    x = 3,785.84

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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.