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Finding the Fourth Proportional to 9,221.73, 12,725.28 and 5,685

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Solution

The fourth proportional to 9,221.73, 12,725.28 and 5,685 is: 7,844.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.73 : 12,725.28 = 5,685 : x
  2. Step 2: Convert to fraction form
    9,221.73/12,725.28 = 5,685/x
  3. Step 3: Cross multiply
    9,221.73x = 12,725.28 × 5,685
  4. Step 4: Simplify right side
    9,221.73x = 72,343,216.80
  5. Step 5: Solve for x
    x = 72,343,216.80/9,221.73
  6. Step 6: Final answer
    x = 7,844.86

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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.