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Finding the Fourth Proportional to 7,115.80, 9,819.93 and 3,929.47

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Solution

The fourth proportional to 7,115.80, 9,819.93 and 3,929.47 is: 5,422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.80 : 9,819.93 = 3,929.47 : x
  2. Step 2: Convert to fraction form
    7,115.80/9,819.93 = 3,929.47/x
  3. Step 3: Cross multiply
    7,115.80x = 9,819.93 × 3,929.47
  4. Step 4: Simplify right side
    7,115.80x = 38,587,120.34
  5. Step 5: Solve for x
    x = 38,587,120.34/7,115.80
  6. Step 6: Final answer
    x = 5,422.74

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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.