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Finding the Fourth Proportional to 6,523.09, 9,785.13 and 3,232.87

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Solution

The fourth proportional to 6,523.09, 9,785.13 and 3,232.87 is: 4,849.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.09 : 9,785.13 = 3,232.87 : x
  2. Step 2: Convert to fraction form
    6,523.09/9,785.13 = 3,232.87/x
  3. Step 3: Cross multiply
    6,523.09x = 9,785.13 × 3,232.87
  4. Step 4: Simplify right side
    6,523.09x = 31,634,053.22
  5. Step 5: Solve for x
    x = 31,634,053.22/6,523.09
  6. Step 6: Final answer
    x = 4,849.55

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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.