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Finding the Fourth Proportional to 9,150.92, 13,725.16 and 2,577.68

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Solution

The fourth proportional to 9,150.92, 13,725.16 and 2,577.68 is: 3,866.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150.92 : 13,725.16 = 2,577.68 : x
  2. Step 2: Convert to fraction form
    9,150.92/13,725.16 = 2,577.68/x
  3. Step 3: Cross multiply
    9,150.92x = 13,725.16 × 2,577.68
  4. Step 4: Simplify right side
    9,150.92x = 35,379,098.30
  5. Step 5: Solve for x
    x = 35,379,098.30/9,150.92
  6. Step 6: Final answer
    x = 3,866.18

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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.