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Finding the Fourth Proportional to 9,252.38, 13,878.68 and 2,678.63

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Solution

The fourth proportional to 9,252.38, 13,878.68 and 2,678.63 is: 4,017.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.38 : 13,878.68 = 2,678.63 : x
  2. Step 2: Convert to fraction form
    9,252.38/13,878.68 = 2,678.63/x
  3. Step 3: Cross multiply
    9,252.38x = 13,878.68 × 2,678.63
  4. Step 4: Simplify right side
    9,252.38x = 37,175,765.82
  5. Step 5: Solve for x
    x = 37,175,765.82/9,252.38
  6. Step 6: Final answer
    x = 4,017.97

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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.