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Finding the Fourth Proportional to 9,129.92, 13,686.36 and 4,963.76

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Solution

The fourth proportional to 9,129.92, 13,686.36 and 4,963.76 is: 7,441.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.92 : 13,686.36 = 4,963.76 : x
  2. Step 2: Convert to fraction form
    9,129.92/13,686.36 = 4,963.76/x
  3. Step 3: Cross multiply
    9,129.92x = 13,686.36 × 4,963.76
  4. Step 4: Simplify right side
    9,129.92x = 67,935,806.31
  5. Step 5: Solve for x
    x = 67,935,806.31/9,129.92
  6. Step 6: Final answer
    x = 7,441.01

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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.