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Finding the Fourth Proportional to 9,687.84, 14,534.19 and 3,114.69

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Solution

The fourth proportional to 9,687.84, 14,534.19 and 3,114.69 is: 4,672.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.84 : 14,534.19 = 3,114.69 : x
  2. Step 2: Convert to fraction form
    9,687.84/14,534.19 = 3,114.69/x
  3. Step 3: Cross multiply
    9,687.84x = 14,534.19 × 3,114.69
  4. Step 4: Simplify right side
    9,687.84x = 45,269,496.25
  5. Step 5: Solve for x
    x = 45,269,496.25/9,687.84
  6. Step 6: Final answer
    x = 4,672.82

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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.