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Finding the Fourth Proportional to 7,013.22, 9,678.20 and 3,869.42

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Solution

The fourth proportional to 7,013.22, 9,678.20 and 3,869.42 is: 5,339.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.22 : 9,678.20 = 3,869.42 : x
  2. Step 2: Convert to fraction form
    7,013.22/9,678.20 = 3,869.42/x
  3. Step 3: Cross multiply
    7,013.22x = 9,678.20 × 3,869.42
  4. Step 4: Simplify right side
    7,013.22x = 37,448,952.91
  5. Step 5: Solve for x
    x = 37,448,952.91/7,013.22
  6. Step 6: Final answer
    x = 5,339.77

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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.