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Finding the Fourth Proportional to 6,799.14, 9,381.02 and 4,146.39

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Solution

The fourth proportional to 6,799.14, 9,381.02 and 4,146.39 is: 5,720.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,799.14 : 9,381.02 = 4,146.39 : x
  2. Step 2: Convert to fraction form
    6,799.14/9,381.02 = 4,146.39/x
  3. Step 3: Cross multiply
    6,799.14x = 9,381.02 × 4,146.39
  4. Step 4: Simplify right side
    6,799.14x = 38,897,346.79
  5. Step 5: Solve for x
    x = 38,897,346.79/6,799.14
  6. Step 6: Final answer
    x = 5,720.92

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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.