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Finding the Fourth Proportional to 6,410.24, 9,593.04 and 4,437.92

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Solution

The fourth proportional to 6,410.24, 9,593.04 and 4,437.92 is: 6,641.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.24 : 9,593.04 = 4,437.92 : x
  2. Step 2: Convert to fraction form
    6,410.24/9,593.04 = 4,437.92/x
  3. Step 3: Cross multiply
    6,410.24x = 9,593.04 × 4,437.92
  4. Step 4: Simplify right side
    6,410.24x = 42,573,144.08
  5. Step 5: Solve for x
    x = 42,573,144.08/6,410.24
  6. Step 6: Final answer
    x = 6,641.43

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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.