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Finding the Fourth Proportional to 9,218.85, 13,823.49 and 3,293.46

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Solution

The fourth proportional to 9,218.85, 13,823.49 and 3,293.46 is: 4,938.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.85 : 13,823.49 = 3,293.46 : x
  2. Step 2: Convert to fraction form
    9,218.85/13,823.49 = 3,293.46/x
  3. Step 3: Cross multiply
    9,218.85x = 13,823.49 × 3,293.46
  4. Step 4: Simplify right side
    9,218.85x = 45,527,123.73
  5. Step 5: Solve for x
    x = 45,527,123.73/9,218.85
  6. Step 6: Final answer
    x = 4,938.48

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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.