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Finding the Fourth Proportional to 6,525.24, 9,763.32 and 3,883

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Solution

The fourth proportional to 6,525.24, 9,763.32 and 3,883 is: 5,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.24 : 9,763.32 = 3,883 : x
  2. Step 2: Convert to fraction form
    6,525.24/9,763.32 = 3,883/x
  3. Step 3: Cross multiply
    6,525.24x = 9,763.32 × 3,883
  4. Step 4: Simplify right side
    6,525.24x = 37,910,971.56
  5. Step 5: Solve for x
    x = 37,910,971.56/6,525.24
  6. Step 6: Final answer
    x = 5,809.90

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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.