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Finding the Fourth Proportional to 9,613.66, 14,418.57 and 2,688.22

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Solution

The fourth proportional to 9,613.66, 14,418.57 and 2,688.22 is: 4,031.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.66 : 14,418.57 = 2,688.22 : x
  2. Step 2: Convert to fraction form
    9,613.66/14,418.57 = 2,688.22/x
  3. Step 3: Cross multiply
    9,613.66x = 14,418.57 × 2,688.22
  4. Step 4: Simplify right side
    9,613.66x = 38,760,288.25
  5. Step 5: Solve for x
    x = 38,760,288.25/9,613.66
  6. Step 6: Final answer
    x = 4,031.79

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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.