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Finding the Fourth Proportional to 8,423.29, 12,645.87 and 6,476.86

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Solution

The fourth proportional to 8,423.29, 12,645.87 and 6,476.86 is: 9,723.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.29 : 12,645.87 = 6,476.86 : x
  2. Step 2: Convert to fraction form
    8,423.29/12,645.87 = 6,476.86/x
  3. Step 3: Cross multiply
    8,423.29x = 12,645.87 × 6,476.86
  4. Step 4: Simplify right side
    8,423.29x = 81,905,529.57
  5. Step 5: Solve for x
    x = 81,905,529.57/8,423.29
  6. Step 6: Final answer
    x = 9,723.70

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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.