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Finding the Fourth Proportional to 9,708.80, 14,557.80 and 4,161.20

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Solution

The fourth proportional to 9,708.80, 14,557.80 and 4,161.20 is: 6,239.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.80 : 14,557.80 = 4,161.20 : x
  2. Step 2: Convert to fraction form
    9,708.80/14,557.80 = 4,161.20/x
  3. Step 3: Cross multiply
    9,708.80x = 14,557.80 × 4,161.20
  4. Step 4: Simplify right side
    9,708.80x = 60,577,917.36
  5. Step 5: Solve for x
    x = 60,577,917.36/9,708.80
  6. Step 6: Final answer
    x = 6,239.49

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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.