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Finding the Fourth Proportional to 6,332.27, 9,499.49 and 2,823.55

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Solution

The fourth proportional to 6,332.27, 9,499.49 and 2,823.55 is: 4,235.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.27 : 9,499.49 = 2,823.55 : x
  2. Step 2: Convert to fraction form
    6,332.27/9,499.49 = 2,823.55/x
  3. Step 3: Cross multiply
    6,332.27x = 9,499.49 × 2,823.55
  4. Step 4: Simplify right side
    6,332.27x = 26,822,270.87
  5. Step 5: Solve for x
    x = 26,822,270.87/6,332.27
  6. Step 6: Final answer
    x = 4,235.81

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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.