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Finding the Fourth Proportional to 7,116.80, 9,821.14 and 3,930.30

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Solution

The fourth proportional to 7,116.80, 9,821.14 and 3,930.30 is: 5,423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.80 : 9,821.14 = 3,930.30 : x
  2. Step 2: Convert to fraction form
    7,116.80/9,821.14 = 3,930.30/x
  3. Step 3: Cross multiply
    7,116.80x = 9,821.14 × 3,930.30
  4. Step 4: Simplify right side
    7,116.80x = 38,599,979.89
  5. Step 5: Solve for x
    x = 38,599,979.89/7,116.80
  6. Step 6: Final answer
    x = 5,423.78

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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.