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Finding the Fourth Proportional to 7,081.71, 9,773.12 and 3,937.83

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Solution

The fourth proportional to 7,081.71, 9,773.12 and 3,937.83 is: 5,434.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,081.71 : 9,773.12 = 3,937.83 : x
  2. Step 2: Convert to fraction form
    7,081.71/9,773.12 = 3,937.83/x
  3. Step 3: Cross multiply
    7,081.71x = 9,773.12 × 3,937.83
  4. Step 4: Simplify right side
    7,081.71x = 38,484,865.44
  5. Step 5: Solve for x
    x = 38,484,865.44/7,081.71
  6. Step 6: Final answer
    x = 5,434.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.