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Finding the Fourth Proportional to 7,013.72, 9,679.10 and 3,869.91

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Solution

The fourth proportional to 7,013.72, 9,679.10 and 3,869.91 is: 5,340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.72 : 9,679.10 = 3,869.91 : x
  2. Step 2: Convert to fraction form
    7,013.72/9,679.10 = 3,869.91/x
  3. Step 3: Cross multiply
    7,013.72x = 9,679.10 × 3,869.91
  4. Step 4: Simplify right side
    7,013.72x = 37,457,226.53
  5. Step 5: Solve for x
    x = 37,457,226.53/7,013.72
  6. Step 6: Final answer
    x = 5,340.56

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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.