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Finding the Fourth Proportional to 9,488.62, 14,233.92 and 3,249.28

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Solution

The fourth proportional to 9,488.62, 14,233.92 and 3,249.28 is: 4,874.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.62 : 14,233.92 = 3,249.28 : x
  2. Step 2: Convert to fraction form
    9,488.62/14,233.92 = 3,249.28/x
  3. Step 3: Cross multiply
    9,488.62x = 14,233.92 × 3,249.28
  4. Step 4: Simplify right side
    9,488.62x = 46,249,991.58
  5. Step 5: Solve for x
    x = 46,249,991.58/9,488.62
  6. Step 6: Final answer
    x = 4,874.26

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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.