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Finding the Fourth Proportional to 9,613.85, 14,433.07 and 8,162.22

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Solution

The fourth proportional to 9,613.85, 14,433.07 and 8,162.22 is: 12,253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.85 : 14,433.07 = 8,162.22 : x
  2. Step 2: Convert to fraction form
    9,613.85/14,433.07 = 8,162.22/x
  3. Step 3: Cross multiply
    9,613.85x = 14,433.07 × 8,162.22
  4. Step 4: Simplify right side
    9,613.85x = 117,805,872.21
  5. Step 5: Solve for x
    x = 117,805,872.21/9,613.85
  6. Step 6: Final answer
    x = 12,253.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.