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Finding the Fourth Proportional to 9,149.29, 13,722.12 and 4,218.21

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Solution

The fourth proportional to 9,149.29, 13,722.12 and 4,218.21 is: 6,326.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.29 : 13,722.12 = 4,218.21 : x
  2. Step 2: Convert to fraction form
    9,149.29/13,722.12 = 4,218.21/x
  3. Step 3: Cross multiply
    9,149.29x = 13,722.12 × 4,218.21
  4. Step 4: Simplify right side
    9,149.29x = 57,882,783.81
  5. Step 5: Solve for x
    x = 57,882,783.81/9,149.29
  6. Step 6: Final answer
    x = 6,326.48

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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.