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Finding the Fourth Proportional to 9,697.44, 14,545.87 and 2,677.88

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Solution

The fourth proportional to 9,697.44, 14,545.87 and 2,677.88 is: 4,016.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.44 : 14,545.87 = 2,677.88 : x
  2. Step 2: Convert to fraction form
    9,697.44/14,545.87 = 2,677.88/x
  3. Step 3: Cross multiply
    9,697.44x = 14,545.87 × 2,677.88
  4. Step 4: Simplify right side
    9,697.44x = 38,952,080.97
  5. Step 5: Solve for x
    x = 38,952,080.97/9,697.44
  6. Step 6: Final answer
    x = 4,016.74

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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.