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Finding the Fourth Proportional to 9,153.92, 13,731.80 and 2,580.17

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Solution

The fourth proportional to 9,153.92, 13,731.80 and 2,580.17 is: 3,870.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.92 : 13,731.80 = 2,580.17 : x
  2. Step 2: Convert to fraction form
    9,153.92/13,731.80 = 2,580.17/x
  3. Step 3: Cross multiply
    9,153.92x = 13,731.80 × 2,580.17
  4. Step 4: Simplify right side
    9,153.92x = 35,430,296.85
  5. Step 5: Solve for x
    x = 35,430,296.85/9,153.92
  6. Step 6: Final answer
    x = 3,870.51

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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.