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Finding the Fourth Proportional to 6,523.17, 9,778.31 and 4,176.49

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Solution

The fourth proportional to 6,523.17, 9,778.31 and 4,176.49 is: 6,260.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.17 : 9,778.31 = 4,176.49 : x
  2. Step 2: Convert to fraction form
    6,523.17/9,778.31 = 4,176.49/x
  3. Step 3: Cross multiply
    6,523.17x = 9,778.31 × 4,176.49
  4. Step 4: Simplify right side
    6,523.17x = 40,839,013.93
  5. Step 5: Solve for x
    x = 40,839,013.93/6,523.17
  6. Step 6: Final answer
    x = 6,260.61

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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.