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Finding the Fourth Proportional to 9,211.92, 12,610.74 and 9,146.04

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Solution

The fourth proportional to 9,211.92, 12,610.74 and 9,146.04 is: 12,520.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.92 : 12,610.74 = 9,146.04 : x
  2. Step 2: Convert to fraction form
    9,211.92/12,610.74 = 9,146.04/x
  3. Step 3: Cross multiply
    9,211.92x = 12,610.74 × 9,146.04
  4. Step 4: Simplify right side
    9,211.92x = 115,338,332.47
  5. Step 5: Solve for x
    x = 115,338,332.47/9,211.92
  6. Step 6: Final answer
    x = 12,520.55

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.