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Finding the Fourth Proportional to 9,687.60, 14,532.48 and 3,844.80

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Solution

The fourth proportional to 9,687.60, 14,532.48 and 3,844.80 is: 5,767.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.60 : 14,532.48 = 3,844.80 : x
  2. Step 2: Convert to fraction form
    9,687.60/14,532.48 = 3,844.80/x
  3. Step 3: Cross multiply
    9,687.60x = 14,532.48 × 3,844.80
  4. Step 4: Simplify right side
    9,687.60x = 55,874,479.10
  5. Step 5: Solve for x
    x = 55,874,479.10/9,687.60
  6. Step 6: Final answer
    x = 5,767.63

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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.