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Finding the Fourth Proportional to 6,432.73, 9,648.43 and 4,366.01

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Solution

The fourth proportional to 6,432.73, 9,648.43 and 4,366.01 is: 6,548.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.73 : 9,648.43 = 4,366.01 : x
  2. Step 2: Convert to fraction form
    6,432.73/9,648.43 = 4,366.01/x
  3. Step 3: Cross multiply
    6,432.73x = 9,648.43 × 4,366.01
  4. Step 4: Simplify right side
    6,432.73x = 42,125,141.86
  5. Step 5: Solve for x
    x = 42,125,141.86/6,432.73
  6. Step 6: Final answer
    x = 6,548.56

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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.