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Finding the Fourth Proportional to 9,118.41, 13,678.25 and 2,878.71

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Solution

The fourth proportional to 9,118.41, 13,678.25 and 2,878.71 is: 4,318.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118.41 : 13,678.25 = 2,878.71 : x
  2. Step 2: Convert to fraction form
    9,118.41/13,678.25 = 2,878.71/x
  3. Step 3: Cross multiply
    9,118.41x = 13,678.25 × 2,878.71
  4. Step 4: Simplify right side
    9,118.41x = 39,375,700.66
  5. Step 5: Solve for x
    x = 39,375,700.66/9,118.41
  6. Step 6: Final answer
    x = 4,318.26

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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.