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Finding the Fourth Proportional to 6,374.80, 9,535.20 and 5,721.40

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Solution

The fourth proportional to 6,374.80, 9,535.20 and 5,721.40 is: 8,557.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.80 : 9,535.20 = 5,721.40 : x
  2. Step 2: Convert to fraction form
    6,374.80/9,535.20 = 5,721.40/x
  3. Step 3: Cross multiply
    6,374.80x = 9,535.20 × 5,721.40
  4. Step 4: Simplify right side
    6,374.80x = 54,554,693.28
  5. Step 5: Solve for x
    x = 54,554,693.28/6,374.80
  6. Step 6: Final answer
    x = 8,557.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.