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Finding the Fourth Proportional to 9,221.73, 13,809.90 and 5,263.22

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Solution

The fourth proportional to 9,221.73, 13,809.90 and 5,263.22 is: 7,881.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.73 : 13,809.90 = 5,263.22 : x
  2. Step 2: Convert to fraction form
    9,221.73/13,809.90 = 5,263.22/x
  3. Step 3: Cross multiply
    9,221.73x = 13,809.90 × 5,263.22
  4. Step 4: Simplify right side
    9,221.73x = 72,684,472.83
  5. Step 5: Solve for x
    x = 72,684,472.83/9,221.73
  6. Step 6: Final answer
    x = 7,881.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.