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Finding the Fourth Proportional to 9,885.24, 13,640.14 and 6,348.92

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Solution

The fourth proportional to 9,885.24, 13,640.14 and 6,348.92 is: 8,760.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.24 : 13,640.14 = 6,348.92 : x
  2. Step 2: Convert to fraction form
    9,885.24/13,640.14 = 6,348.92/x
  3. Step 3: Cross multiply
    9,885.24x = 13,640.14 × 6,348.92
  4. Step 4: Simplify right side
    9,885.24x = 86,600,157.65
  5. Step 5: Solve for x
    x = 86,600,157.65/9,885.24
  6. Step 6: Final answer
    x = 8,760.55

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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.