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Finding the Fourth Proportional to 9,292.22, 12,841.70 and 7,610.97

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Solution

The fourth proportional to 9,292.22, 12,841.70 and 7,610.97 is: 10,518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.22 : 12,841.70 = 7,610.97 : x
  2. Step 2: Convert to fraction form
    9,292.22/12,841.70 = 7,610.97/x
  3. Step 3: Cross multiply
    9,292.22x = 12,841.70 × 7,610.97
  4. Step 4: Simplify right side
    9,292.22x = 97,737,793.45
  5. Step 5: Solve for x
    x = 97,737,793.45/9,292.22
  6. Step 6: Final answer
    x = 10,518.24

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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.