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Finding the Fourth Proportional to 9,204.74, 12,634.42 and 8,712.68

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Solution

The fourth proportional to 9,204.74, 12,634.42 and 8,712.68 is: 11,959.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.74 : 12,634.42 = 8,712.68 : x
  2. Step 2: Convert to fraction form
    9,204.74/12,634.42 = 8,712.68/x
  3. Step 3: Cross multiply
    9,204.74x = 12,634.42 × 8,712.68
  4. Step 4: Simplify right side
    9,204.74x = 110,079,658.45
  5. Step 5: Solve for x
    x = 110,079,658.45/9,204.74
  6. Step 6: Final answer
    x = 11,959.02

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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.