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Finding the Fourth Proportional to 6,521.33, 9,782.51 and 3,231.11

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Solution

The fourth proportional to 6,521.33, 9,782.51 and 3,231.11 is: 4,846.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.33 : 9,782.51 = 3,231.11 : x
  2. Step 2: Convert to fraction form
    6,521.33/9,782.51 = 3,231.11/x
  3. Step 3: Cross multiply
    6,521.33x = 9,782.51 × 3,231.11
  4. Step 4: Simplify right side
    6,521.33x = 31,608,374.19
  5. Step 5: Solve for x
    x = 31,608,374.19/6,521.33
  6. Step 6: Final answer
    x = 4,846.92

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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.