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Finding the Fourth Proportional to 7,013.50, 9,678.66 and 3,869.92

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Solution

The fourth proportional to 7,013.50, 9,678.66 and 3,869.92 is: 5,340.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.50 : 9,678.66 = 3,869.92 : x
  2. Step 2: Convert to fraction form
    7,013.50/9,678.66 = 3,869.92/x
  3. Step 3: Cross multiply
    7,013.50x = 9,678.66 × 3,869.92
  4. Step 4: Simplify right side
    7,013.50x = 37,455,639.91
  5. Step 5: Solve for x
    x = 37,455,639.91/7,013.50
  6. Step 6: Final answer
    x = 5,340.51

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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.