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Finding the Fourth Proportional to 8,281.42, 12,426.59 and 6,436.24

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Solution

The fourth proportional to 8,281.42, 12,426.59 and 6,436.24 is: 9,657.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.42 : 12,426.59 = 6,436.24 : x
  2. Step 2: Convert to fraction form
    8,281.42/12,426.59 = 6,436.24/x
  3. Step 3: Cross multiply
    8,281.42x = 12,426.59 × 6,436.24
  4. Step 4: Simplify right side
    8,281.42x = 79,980,515.62
  5. Step 5: Solve for x
    x = 79,980,515.62/8,281.42
  6. Step 6: Final answer
    x = 9,657.83

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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.