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Finding the Fourth Proportional to 9,215.97, 13,765.22 and 8,337.12

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Solution

The fourth proportional to 9,215.97, 13,765.22 and 8,337.12 is: 12,452.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.97 : 13,765.22 = 8,337.12 : x
  2. Step 2: Convert to fraction form
    9,215.97/13,765.22 = 8,337.12/x
  3. Step 3: Cross multiply
    9,215.97x = 13,765.22 × 8,337.12
  4. Step 4: Simplify right side
    9,215.97x = 114,762,249.28
  5. Step 5: Solve for x
    x = 114,762,249.28/9,215.97
  6. Step 6: Final answer
    x = 12,452.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.