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Finding the Fourth Proportional to 9,215.57, 12,717.45 and 5,023.82

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Solution

The fourth proportional to 9,215.57, 12,717.45 and 5,023.82 is: 6,932.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.57 : 12,717.45 = 5,023.82 : x
  2. Step 2: Convert to fraction form
    9,215.57/12,717.45 = 5,023.82/x
  3. Step 3: Cross multiply
    9,215.57x = 12,717.45 × 5,023.82
  4. Step 4: Simplify right side
    9,215.57x = 63,890,116.07
  5. Step 5: Solve for x
    x = 63,890,116.07/9,215.57
  6. Step 6: Final answer
    x = 6,932.85

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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.