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Finding the Fourth Proportional to 8,470.06, 12,706.32 and 2,627.14

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Solution

The fourth proportional to 8,470.06, 12,706.32 and 2,627.14 is: 3,941.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.06 : 12,706.32 = 2,627.14 : x
  2. Step 2: Convert to fraction form
    8,470.06/12,706.32 = 2,627.14/x
  3. Step 3: Cross multiply
    8,470.06x = 12,706.32 × 2,627.14
  4. Step 4: Simplify right side
    8,470.06x = 33,381,281.52
  5. Step 5: Solve for x
    x = 33,381,281.52/8,470.06
  6. Step 6: Final answer
    x = 3,941.09

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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.