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Finding the Fourth Proportional to 9,488.34, 14,234.49 and 3,248.82

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Solution

The fourth proportional to 9,488.34, 14,234.49 and 3,248.82 is: 4,873.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.34 : 14,234.49 = 3,248.82 : x
  2. Step 2: Convert to fraction form
    9,488.34/14,234.49 = 3,248.82/x
  3. Step 3: Cross multiply
    9,488.34x = 14,234.49 × 3,248.82
  4. Step 4: Simplify right side
    9,488.34x = 46,245,295.80
  5. Step 5: Solve for x
    x = 46,245,295.80/9,488.34
  6. Step 6: Final answer
    x = 4,873.91

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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.