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Finding the Fourth Proportional to 9,229.19, 13,842.90 and 3,681.05

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Solution

The fourth proportional to 9,229.19, 13,842.90 and 3,681.05 is: 5,521.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.19 : 13,842.90 = 3,681.05 : x
  2. Step 2: Convert to fraction form
    9,229.19/13,842.90 = 3,681.05/x
  3. Step 3: Cross multiply
    9,229.19x = 13,842.90 × 3,681.05
  4. Step 4: Simplify right side
    9,229.19x = 50,956,337.83
  5. Step 5: Solve for x
    x = 50,956,337.83/9,229.19
  6. Step 6: Final answer
    x = 5,521.22

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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.