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Finding the Fourth Proportional to 6,820.47, 9,414.18 and 3,988.50

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Solution

The fourth proportional to 6,820.47, 9,414.18 and 3,988.50 is: 5,505.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.47 : 9,414.18 = 3,988.50 : x
  2. Step 2: Convert to fraction form
    6,820.47/9,414.18 = 3,988.50/x
  3. Step 3: Cross multiply
    6,820.47x = 9,414.18 × 3,988.50
  4. Step 4: Simplify right side
    6,820.47x = 37,548,456.93
  5. Step 5: Solve for x
    x = 37,548,456.93/6,820.47
  6. Step 6: Final answer
    x = 5,505.26

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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.