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Finding the Fourth Proportional to 9,747.58, 13,451.22 and 6,211.92

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Solution

The fourth proportional to 9,747.58, 13,451.22 and 6,211.92 is: 8,572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.58 : 13,451.22 = 6,211.92 : x
  2. Step 2: Convert to fraction form
    9,747.58/13,451.22 = 6,211.92/x
  3. Step 3: Cross multiply
    9,747.58x = 13,451.22 × 6,211.92
  4. Step 4: Simplify right side
    9,747.58x = 83,557,902.54
  5. Step 5: Solve for x
    x = 83,557,902.54/9,747.58
  6. Step 6: Final answer
    x = 8,572.17

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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.