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Finding the Fourth Proportional to 7,013.31, 9,677.31 and 4,029.27

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Solution

The fourth proportional to 7,013.31, 9,677.31 and 4,029.27 is: 5,559.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.31 : 9,677.31 = 4,029.27 : x
  2. Step 2: Convert to fraction form
    7,013.31/9,677.31 = 4,029.27/x
  3. Step 3: Cross multiply
    7,013.31x = 9,677.31 × 4,029.27
  4. Step 4: Simplify right side
    7,013.31x = 38,992,494.86
  5. Step 5: Solve for x
    x = 38,992,494.86/7,013.31
  6. Step 6: Final answer
    x = 5,559.78

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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.