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Finding the Fourth Proportional to 9,294.55, 12,827.87 and 5,939.59

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Solution

The fourth proportional to 9,294.55, 12,827.87 and 5,939.59 is: 8,197.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.55 : 12,827.87 = 5,939.59 : x
  2. Step 2: Convert to fraction form
    9,294.55/12,827.87 = 5,939.59/x
  3. Step 3: Cross multiply
    9,294.55x = 12,827.87 × 5,939.59
  4. Step 4: Simplify right side
    9,294.55x = 76,192,288.37
  5. Step 5: Solve for x
    x = 76,192,288.37/9,294.55
  6. Step 6: Final answer
    x = 8,197.52

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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.