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Finding the Fourth Proportional to 9,288.72, 13,920.42 and 5,122.47

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Solution

The fourth proportional to 9,288.72, 13,920.42 and 5,122.47 is: 7,676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.72 : 13,920.42 = 5,122.47 : x
  2. Step 2: Convert to fraction form
    9,288.72/13,920.42 = 5,122.47/x
  3. Step 3: Cross multiply
    9,288.72x = 13,920.42 × 5,122.47
  4. Step 4: Simplify right side
    9,288.72x = 71,306,933.84
  5. Step 5: Solve for x
    x = 71,306,933.84/9,288.72
  6. Step 6: Final answer
    x = 7,676.72

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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.