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Finding the Fourth Proportional to 6,523.12, 9,773.74 and 3,592.54

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Solution

The fourth proportional to 6,523.12, 9,773.74 and 3,592.54 is: 5,382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.12 : 9,773.74 = 3,592.54 : x
  2. Step 2: Convert to fraction form
    6,523.12/9,773.74 = 3,592.54/x
  3. Step 3: Cross multiply
    6,523.12x = 9,773.74 × 3,592.54
  4. Step 4: Simplify right side
    6,523.12x = 35,112,551.90
  5. Step 5: Solve for x
    x = 35,112,551.90/6,523.12
  6. Step 6: Final answer
    x = 5,382.78

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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.