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Finding the Fourth Proportional to 6,542.20, 9,802.14 and 4,319.56

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Solution

The fourth proportional to 6,542.20, 9,802.14 and 4,319.56 is: 6,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.20 : 9,802.14 = 4,319.56 : x
  2. Step 2: Convert to fraction form
    6,542.20/9,802.14 = 4,319.56/x
  3. Step 3: Cross multiply
    6,542.20x = 9,802.14 × 4,319.56
  4. Step 4: Simplify right side
    6,542.20x = 42,340,931.86
  5. Step 5: Solve for x
    x = 42,340,931.86/6,542.20
  6. Step 6: Final answer
    x = 6,471.97

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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.