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Finding the Fourth Proportional to 9,129.75, 13,695.50 and 2,555.92

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Solution

The fourth proportional to 9,129.75, 13,695.50 and 2,555.92 is: 3,834.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.75 : 13,695.50 = 2,555.92 : x
  2. Step 2: Convert to fraction form
    9,129.75/13,695.50 = 2,555.92/x
  3. Step 3: Cross multiply
    9,129.75x = 13,695.50 × 2,555.92
  4. Step 4: Simplify right side
    9,129.75x = 35,004,602.36
  5. Step 5: Solve for x
    x = 35,004,602.36/9,129.75
  6. Step 6: Final answer
    x = 3,834.12

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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.