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Finding the Fourth Proportional to 6,331.74, 9,480.60 and 5,156.91

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Solution

The fourth proportional to 6,331.74, 9,480.60 and 5,156.91 is: 7,721.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.74 : 9,480.60 = 5,156.91 : x
  2. Step 2: Convert to fraction form
    6,331.74/9,480.60 = 5,156.91/x
  3. Step 3: Cross multiply
    6,331.74x = 9,480.60 × 5,156.91
  4. Step 4: Simplify right side
    6,331.74x = 48,890,600.95
  5. Step 5: Solve for x
    x = 48,890,600.95/6,331.74
  6. Step 6: Final answer
    x = 7,721.51

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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.