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Finding the Fourth Proportional to 6,847.20, 9,432.76 and 6,513.69

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Solution

The fourth proportional to 6,847.20, 9,432.76 and 6,513.69 is: 8,973.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.20 : 9,432.76 = 6,513.69 : x
  2. Step 2: Convert to fraction form
    6,847.20/9,432.76 = 6,513.69/x
  3. Step 3: Cross multiply
    6,847.20x = 9,432.76 × 6,513.69
  4. Step 4: Simplify right side
    6,847.20x = 61,442,074.48
  5. Step 5: Solve for x
    x = 61,442,074.48/6,847.20
  6. Step 6: Final answer
    x = 8,973.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.