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Finding the Fourth Proportional to 9,656.31, 14,500.80 and 5,282.31

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Solution

The fourth proportional to 9,656.31, 14,500.80 and 5,282.31 is: 7,932.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.31 : 14,500.80 = 5,282.31 : x
  2. Step 2: Convert to fraction form
    9,656.31/14,500.80 = 5,282.31/x
  3. Step 3: Cross multiply
    9,656.31x = 14,500.80 × 5,282.31
  4. Step 4: Simplify right side
    9,656.31x = 76,597,720.85
  5. Step 5: Solve for x
    x = 76,597,720.85/9,656.31
  6. Step 6: Final answer
    x = 7,932.40

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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.