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Finding the Fourth Proportional to 9,324.70, 13,987.09 and 3,778.15

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Solution

The fourth proportional to 9,324.70, 13,987.09 and 3,778.15 is: 5,667.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.70 : 13,987.09 = 3,778.15 : x
  2. Step 2: Convert to fraction form
    9,324.70/13,987.09 = 3,778.15/x
  3. Step 3: Cross multiply
    9,324.70x = 13,987.09 × 3,778.15
  4. Step 4: Simplify right side
    9,324.70x = 52,845,324.08
  5. Step 5: Solve for x
    x = 52,845,324.08/9,324.70
  6. Step 6: Final answer
    x = 5,667.24

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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.