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Finding the Fourth Proportional to 6,429.60, 9,644.34 and 5,139.24

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Solution

The fourth proportional to 6,429.60, 9,644.34 and 5,139.24 is: 7,708.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.60 : 9,644.34 = 5,139.24 : x
  2. Step 2: Convert to fraction form
    6,429.60/9,644.34 = 5,139.24/x
  3. Step 3: Cross multiply
    6,429.60x = 9,644.34 × 5,139.24
  4. Step 4: Simplify right side
    6,429.60x = 49,564,577.90
  5. Step 5: Solve for x
    x = 49,564,577.90/6,429.60
  6. Step 6: Final answer
    x = 7,708.81

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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.