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Finding the Fourth Proportional to 9,217.62, 13,818.12 and 6,257.07

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Solution

The fourth proportional to 9,217.62, 13,818.12 and 6,257.07 is: 9,379.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,217.62 : 13,818.12 = 6,257.07 : x
  2. Step 2: Convert to fraction form
    9,217.62/13,818.12 = 6,257.07/x
  3. Step 3: Cross multiply
    9,217.62x = 13,818.12 × 6,257.07
  4. Step 4: Simplify right side
    9,217.62x = 86,460,944.11
  5. Step 5: Solve for x
    x = 86,460,944.11/9,217.62
  6. Step 6: Final answer
    x = 9,379.96

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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.