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Finding the Fourth Proportional to 9,294.24, 12,822.93 and 5,939.02

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Solution

The fourth proportional to 9,294.24, 12,822.93 and 5,939.02 is: 8,193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.24 : 12,822.93 = 5,939.02 : x
  2. Step 2: Convert to fraction form
    9,294.24/12,822.93 = 5,939.02/x
  3. Step 3: Cross multiply
    9,294.24x = 12,822.93 × 5,939.02
  4. Step 4: Simplify right side
    9,294.24x = 76,155,637.73
  5. Step 5: Solve for x
    x = 76,155,637.73/9,294.24
  6. Step 6: Final answer
    x = 8,193.85

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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.