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Finding the Fourth Proportional to 6,407.28, 9,612.72 and 4,654.02

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Solution

The fourth proportional to 6,407.28, 9,612.72 and 4,654.02 is: 6,982.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.28 : 9,612.72 = 4,654.02 : x
  2. Step 2: Convert to fraction form
    6,407.28/9,612.72 = 4,654.02/x
  3. Step 3: Cross multiply
    6,407.28x = 9,612.72 × 4,654.02
  4. Step 4: Simplify right side
    6,407.28x = 44,737,791.13
  5. Step 5: Solve for x
    x = 44,737,791.13/6,407.28
  6. Step 6: Final answer
    x = 6,982.34

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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.