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Finding the Fourth Proportional to 9,712.80, 14,540.40 and 5,824.80

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Solution

The fourth proportional to 9,712.80, 14,540.40 and 5,824.80 is: 8,719.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.80 : 14,540.40 = 5,824.80 : x
  2. Step 2: Convert to fraction form
    9,712.80/14,540.40 = 5,824.80/x
  3. Step 3: Cross multiply
    9,712.80x = 14,540.40 × 5,824.80
  4. Step 4: Simplify right side
    9,712.80x = 84,694,921.92
  5. Step 5: Solve for x
    x = 84,694,921.92/9,712.80
  6. Step 6: Final answer
    x = 8,719.93

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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.