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Finding the Fourth Proportional to 6,426.69, 8,869.84 and 3,909.59

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Solution

The fourth proportional to 6,426.69, 8,869.84 and 3,909.59 is: 5,395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.69 : 8,869.84 = 3,909.59 : x
  2. Step 2: Convert to fraction form
    6,426.69/8,869.84 = 3,909.59/x
  3. Step 3: Cross multiply
    6,426.69x = 8,869.84 × 3,909.59
  4. Step 4: Simplify right side
    6,426.69x = 34,677,441.85
  5. Step 5: Solve for x
    x = 34,677,441.85/6,426.69
  6. Step 6: Final answer
    x = 5,395.85

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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.