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Finding the Fourth Proportional to 6,346.47, 9,523.31 and 3,424.71

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Solution

The fourth proportional to 6,346.47, 9,523.31 and 3,424.71 is: 5,139.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.47 : 9,523.31 = 3,424.71 : x
  2. Step 2: Convert to fraction form
    6,346.47/9,523.31 = 3,424.71/x
  3. Step 3: Cross multiply
    6,346.47x = 9,523.31 × 3,424.71
  4. Step 4: Simplify right side
    6,346.47x = 32,614,557.87
  5. Step 5: Solve for x
    x = 32,614,557.87/6,346.47
  6. Step 6: Final answer
    x = 5,139.01

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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.