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Finding the Fourth Proportional to 7,013.09, 9,677.49 and 3,869.27

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Solution

The fourth proportional to 7,013.09, 9,677.49 and 3,869.27 is: 5,339.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.09 : 9,677.49 = 3,869.27 : x
  2. Step 2: Convert to fraction form
    7,013.09/9,677.49 = 3,869.27/x
  3. Step 3: Cross multiply
    7,013.09x = 9,677.49 × 3,869.27
  4. Step 4: Simplify right side
    7,013.09x = 37,444,821.73
  5. Step 5: Solve for x
    x = 37,444,821.73/7,013.09
  6. Step 6: Final answer
    x = 5,339.28

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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.