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Finding the Fourth Proportional to 9,424.88, 13,006.20 and 5,233.04

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Solution

The fourth proportional to 9,424.88, 13,006.20 and 5,233.04 is: 7,221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.88 : 13,006.20 = 5,233.04 : x
  2. Step 2: Convert to fraction form
    9,424.88/13,006.20 = 5,233.04/x
  3. Step 3: Cross multiply
    9,424.88x = 13,006.20 × 5,233.04
  4. Step 4: Simplify right side
    9,424.88x = 68,061,964.85
  5. Step 5: Solve for x
    x = 68,061,964.85/9,424.88
  6. Step 6: Final answer
    x = 7,221.52

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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.