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Finding the Fourth Proportional to 9,244.70, 13,869.48 and 2,671.42

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Solution

The fourth proportional to 9,244.70, 13,869.48 and 2,671.42 is: 4,007.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244.70 : 13,869.48 = 2,671.42 : x
  2. Step 2: Convert to fraction form
    9,244.70/13,869.48 = 2,671.42/x
  3. Step 3: Cross multiply
    9,244.70x = 13,869.48 × 2,671.42
  4. Step 4: Simplify right side
    9,244.70x = 37,051,206.26
  5. Step 5: Solve for x
    x = 37,051,206.26/9,244.70
  6. Step 6: Final answer
    x = 4,007.83

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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.