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Finding the Fourth Proportional to 8,470.84, 12,706.08 and 2,314.84

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Solution

The fourth proportional to 8,470.84, 12,706.08 and 2,314.84 is: 3,472.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.84 : 12,706.08 = 2,314.84 : x
  2. Step 2: Convert to fraction form
    8,470.84/12,706.08 = 2,314.84/x
  3. Step 3: Cross multiply
    8,470.84x = 12,706.08 × 2,314.84
  4. Step 4: Simplify right side
    8,470.84x = 29,412,542.23
  5. Step 5: Solve for x
    x = 29,412,542.23/8,470.84
  6. Step 6: Final answer
    x = 3,472.21

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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.