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Finding the Fourth Proportional to 8,657.46, 12,989.28 and 2,814.09

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Solution

The fourth proportional to 8,657.46, 12,989.28 and 2,814.09 is: 4,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.46 : 12,989.28 = 2,814.09 : x
  2. Step 2: Convert to fraction form
    8,657.46/12,989.28 = 2,814.09/x
  3. Step 3: Cross multiply
    8,657.46x = 12,989.28 × 2,814.09
  4. Step 4: Simplify right side
    8,657.46x = 36,553,002.96
  5. Step 5: Solve for x
    x = 36,553,002.96/8,657.46
  6. Step 6: Final answer
    x = 4,222.14

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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.