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Finding the Fourth Proportional to 9,750.82, 14,613.78 and 5,593.09

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Solution

The fourth proportional to 9,750.82, 14,613.78 and 5,593.09 is: 8,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.82 : 14,613.78 = 5,593.09 : x
  2. Step 2: Convert to fraction form
    9,750.82/14,613.78 = 5,593.09/x
  3. Step 3: Cross multiply
    9,750.82x = 14,613.78 × 5,593.09
  4. Step 4: Simplify right side
    9,750.82x = 81,736,186.78
  5. Step 5: Solve for x
    x = 81,736,186.78/9,750.82
  6. Step 6: Final answer
    x = 8,382.49

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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.