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Finding the Fourth Proportional to 6,479.70, 9,712.35 and 2,781.30

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Solution

The fourth proportional to 6,479.70, 9,712.35 and 2,781.30 is: 4,168.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.70 : 9,712.35 = 2,781.30 : x
  2. Step 2: Convert to fraction form
    6,479.70/9,712.35 = 2,781.30/x
  3. Step 3: Cross multiply
    6,479.70x = 9,712.35 × 2,781.30
  4. Step 4: Simplify right side
    6,479.70x = 27,012,959.06
  5. Step 5: Solve for x
    x = 27,012,959.06/6,479.70
  6. Step 6: Final answer
    x = 4,168.86

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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.