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Finding the Fourth Proportional to 9,593.85, 14,322.27 and 8,117.22

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Solution

The fourth proportional to 9,593.85, 14,322.27 and 8,117.22 is: 12,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.85 : 14,322.27 = 8,117.22 : x
  2. Step 2: Convert to fraction form
    9,593.85/14,322.27 = 8,117.22/x
  3. Step 3: Cross multiply
    9,593.85x = 14,322.27 × 8,117.22
  4. Step 4: Simplify right side
    9,593.85x = 116,257,016.49
  5. Step 5: Solve for x
    x = 116,257,016.49/9,593.85
  6. Step 6: Final answer
    x = 12,117.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.