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Finding the Fourth Proportional to 9,687.80, 14,531.70 and 3,114.20

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Solution

The fourth proportional to 9,687.80, 14,531.70 and 3,114.20 is: 4,671.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.80 : 14,531.70 = 3,114.20 : x
  2. Step 2: Convert to fraction form
    9,687.80/14,531.70 = 3,114.20/x
  3. Step 3: Cross multiply
    9,687.80x = 14,531.70 × 3,114.20
  4. Step 4: Simplify right side
    9,687.80x = 45,254,620.14
  5. Step 5: Solve for x
    x = 45,254,620.14/9,687.80
  6. Step 6: Final answer
    x = 4,671.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.