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Finding the Fourth Proportional to 6,531.94, 9,832.79 and 5,627.68

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Solution

The fourth proportional to 6,531.94, 9,832.79 and 5,627.68 is: 8,471.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.94 : 9,832.79 = 5,627.68 : x
  2. Step 2: Convert to fraction form
    6,531.94/9,832.79 = 5,627.68/x
  3. Step 3: Cross multiply
    6,531.94x = 9,832.79 × 5,627.68
  4. Step 4: Simplify right side
    6,531.94x = 55,335,785.11
  5. Step 5: Solve for x
    x = 55,335,785.11/6,531.94
  6. Step 6: Final answer
    x = 8,471.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.