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Finding the Fourth Proportional to 9,841.32, 13,589.50 and 8,438.91

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Solution

The fourth proportional to 9,841.32, 13,589.50 and 8,438.91 is: 11,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.32 : 13,589.50 = 8,438.91 : x
  2. Step 2: Convert to fraction form
    9,841.32/13,589.50 = 8,438.91/x
  3. Step 3: Cross multiply
    9,841.32x = 13,589.50 × 8,438.91
  4. Step 4: Simplify right side
    9,841.32x = 114,680,527.03
  5. Step 5: Solve for x
    x = 114,680,527.03/9,841.32
  6. Step 6: Final answer
    x = 11,652.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.