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Finding the Fourth Proportional to 9,635.88, 14,462.08 and 6,869.32

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Solution

The fourth proportional to 9,635.88, 14,462.08 and 6,869.32 is: 10,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.88 : 14,462.08 = 6,869.32 : x
  2. Step 2: Convert to fraction form
    9,635.88/14,462.08 = 6,869.32/x
  3. Step 3: Cross multiply
    9,635.88x = 14,462.08 × 6,869.32
  4. Step 4: Simplify right side
    9,635.88x = 99,344,655.39
  5. Step 5: Solve for x
    x = 99,344,655.39/9,635.88
  6. Step 6: Final answer
    x = 10,309.87

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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.