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Finding the Fourth Proportional to 9,270.38, 13,870.68 and 6,502.46

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Solution

The fourth proportional to 9,270.38, 13,870.68 and 6,502.46 is: 9,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.38 : 13,870.68 = 6,502.46 : x
  2. Step 2: Convert to fraction form
    9,270.38/13,870.68 = 6,502.46/x
  3. Step 3: Cross multiply
    9,270.38x = 13,870.68 × 6,502.46
  4. Step 4: Simplify right side
    9,270.38x = 90,193,472.52
  5. Step 5: Solve for x
    x = 90,193,472.52/9,270.38
  6. Step 6: Final answer
    x = 9,729.22

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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.