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Finding the Fourth Proportional to 9,878.38, 14,817.33 and 3,214.87

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Solution

The fourth proportional to 9,878.38, 14,817.33 and 3,214.87 is: 4,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.38 : 14,817.33 = 3,214.87 : x
  2. Step 2: Convert to fraction form
    9,878.38/14,817.33 = 3,214.87/x
  3. Step 3: Cross multiply
    9,878.38x = 14,817.33 × 3,214.87
  4. Step 4: Simplify right side
    9,878.38x = 47,635,789.70
  5. Step 5: Solve for x
    x = 47,635,789.70/9,878.38
  6. Step 6: Final answer
    x = 4,822.23

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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.