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Finding the Fourth Proportional to 7,135.68, 9,847.13 and 3,948.87

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Solution

The fourth proportional to 7,135.68, 9,847.13 and 3,948.87 is: 5,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.68 : 9,847.13 = 3,948.87 : x
  2. Step 2: Convert to fraction form
    7,135.68/9,847.13 = 3,948.87/x
  3. Step 3: Cross multiply
    7,135.68x = 9,847.13 × 3,948.87
  4. Step 4: Simplify right side
    7,135.68x = 38,885,016.50
  5. Step 5: Solve for x
    x = 38,885,016.50/7,135.68
  6. Step 6: Final answer
    x = 5,449.38

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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.