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Finding the Fourth Proportional to 6,397.20, 9,595.80 and 3,902.40

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Solution

The fourth proportional to 6,397.20, 9,595.80 and 3,902.40 is: 5,853.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.20 : 9,595.80 = 3,902.40 : x
  2. Step 2: Convert to fraction form
    6,397.20/9,595.80 = 3,902.40/x
  3. Step 3: Cross multiply
    6,397.20x = 9,595.80 × 3,902.40
  4. Step 4: Simplify right side
    6,397.20x = 37,446,649.92
  5. Step 5: Solve for x
    x = 37,446,649.92/6,397.20
  6. Step 6: Final answer
    x = 5,853.60

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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.