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Finding the Fourth Proportional to 9,351.46, 14,013.82 and 6,866.79

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Solution

The fourth proportional to 9,351.46, 14,013.82 and 6,866.79 is: 10,290.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.46 : 14,013.82 = 6,866.79 : x
  2. Step 2: Convert to fraction form
    9,351.46/14,013.82 = 6,866.79/x
  3. Step 3: Cross multiply
    9,351.46x = 14,013.82 × 6,866.79
  4. Step 4: Simplify right side
    9,351.46x = 96,229,959.04
  5. Step 5: Solve for x
    x = 96,229,959.04/9,351.46
  6. Step 6: Final answer
    x = 10,290.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.