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Finding the Fourth Proportional to 6,426.20, 9,612.64 and 6,032.54

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Solution

The fourth proportional to 6,426.20, 9,612.64 and 6,032.54 is: 9,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.20 : 9,612.64 = 6,032.54 : x
  2. Step 2: Convert to fraction form
    6,426.20/9,612.64 = 6,032.54/x
  3. Step 3: Cross multiply
    6,426.20x = 9,612.64 × 6,032.54
  4. Step 4: Simplify right side
    6,426.20x = 57,988,572.16
  5. Step 5: Solve for x
    x = 57,988,572.16/6,426.20
  6. Step 6: Final answer
    x = 9,023.78

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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.