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Finding the Fourth Proportional to 6,525.33, 9,786.78 and 3,015.20

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Solution

The fourth proportional to 6,525.33, 9,786.78 and 3,015.20 is: 4,522.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.33 : 9,786.78 = 3,015.20 : x
  2. Step 2: Convert to fraction form
    6,525.33/9,786.78 = 3,015.20/x
  3. Step 3: Cross multiply
    6,525.33x = 9,786.78 × 3,015.20
  4. Step 4: Simplify right side
    6,525.33x = 29,509,050.12
  5. Step 5: Solve for x
    x = 29,509,050.12/6,525.33
  6. Step 6: Final answer
    x = 4,522.23

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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.