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Finding the Fourth Proportional to 6,234.81, 9,348.95 and 5,524.23

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Solution

The fourth proportional to 6,234.81, 9,348.95 and 5,524.23 is: 8,283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.81 : 9,348.95 = 5,524.23 : x
  2. Step 2: Convert to fraction form
    6,234.81/9,348.95 = 5,524.23/x
  3. Step 3: Cross multiply
    6,234.81x = 9,348.95 × 5,524.23
  4. Step 4: Simplify right side
    6,234.81x = 51,645,798.93
  5. Step 5: Solve for x
    x = 51,645,798.93/6,234.81
  6. Step 6: Final answer
    x = 8,283.46

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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.