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Finding the Fourth Proportional to 9,211.75, 12,712.49 and 5,020.27

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Solution

The fourth proportional to 9,211.75, 12,712.49 and 5,020.27 is: 6,928.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.75 : 12,712.49 = 5,020.27 : x
  2. Step 2: Convert to fraction form
    9,211.75/12,712.49 = 5,020.27/x
  3. Step 3: Cross multiply
    9,211.75x = 12,712.49 × 5,020.27
  4. Step 4: Simplify right side
    9,211.75x = 63,820,132.17
  5. Step 5: Solve for x
    x = 63,820,132.17/9,211.75
  6. Step 6: Final answer
    x = 6,928.12

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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.