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Finding the Fourth Proportional to 6,398.88, 9,592.56 and 2,293.92

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Solution

The fourth proportional to 6,398.88, 9,592.56 and 2,293.92 is: 3,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.88 : 9,592.56 = 2,293.92 : x
  2. Step 2: Convert to fraction form
    6,398.88/9,592.56 = 2,293.92/x
  3. Step 3: Cross multiply
    6,398.88x = 9,592.56 × 2,293.92
  4. Step 4: Simplify right side
    6,398.88x = 22,004,565.24
  5. Step 5: Solve for x
    x = 22,004,565.24/6,398.88
  6. Step 6: Final answer
    x = 3,438.82

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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.