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Finding the Fourth Proportional to 8,614.17, 12,894.41 and 6,634.67

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Solution

The fourth proportional to 8,614.17, 12,894.41 and 6,634.67 is: 9,931.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.17 : 12,894.41 = 6,634.67 : x
  2. Step 2: Convert to fraction form
    8,614.17/12,894.41 = 6,634.67/x
  3. Step 3: Cross multiply
    8,614.17x = 12,894.41 × 6,634.67
  4. Step 4: Simplify right side
    8,614.17x = 85,550,057.55
  5. Step 5: Solve for x
    x = 85,550,057.55/8,614.17
  6. Step 6: Final answer
    x = 9,931.32

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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.