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Finding the Fourth Proportional to 6,380.00, 9,570.84 and 2,220.32

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Solution

The fourth proportional to 6,380.00, 9,570.84 and 2,220.32 is: 3,330.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.00 : 9,570.84 = 2,220.32 : x
  2. Step 2: Convert to fraction form
    6,380.00/9,570.84 = 2,220.32/x
  3. Step 3: Cross multiply
    6,380.00x = 9,570.84 × 2,220.32
  4. Step 4: Simplify right side
    6,380.00x = 21,250,343.07
  5. Step 5: Solve for x
    x = 21,250,343.07/6,380.00
  6. Step 6: Final answer
    x = 3,330.78

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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.