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Finding the Fourth Proportional to 9,655.85, 14,494.02 and 8,552.43

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Solution

The fourth proportional to 9,655.85, 14,494.02 and 8,552.43 is: 12,837.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.85 : 14,494.02 = 8,552.43 : x
  2. Step 2: Convert to fraction form
    9,655.85/14,494.02 = 8,552.43/x
  3. Step 3: Cross multiply
    9,655.85x = 14,494.02 × 8,552.43
  4. Step 4: Simplify right side
    9,655.85x = 123,959,091.47
  5. Step 5: Solve for x
    x = 123,959,091.47/9,655.85
  6. Step 6: Final answer
    x = 12,837.72

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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.