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Finding the Fourth Proportional to 9,123.41, 12,593.72 and 5,979.80

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Solution

The fourth proportional to 9,123.41, 12,593.72 and 5,979.80 is: 8,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.41 : 12,593.72 = 5,979.80 : x
  2. Step 2: Convert to fraction form
    9,123.41/12,593.72 = 5,979.80/x
  3. Step 3: Cross multiply
    9,123.41x = 12,593.72 × 5,979.80
  4. Step 4: Simplify right side
    9,123.41x = 75,307,878.84
  5. Step 5: Solve for x
    x = 75,307,878.84/9,123.41
  6. Step 6: Final answer
    x = 8,254.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.