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Finding the Fourth Proportional to 7,000.80, 9,660.20 and 3,857.18

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Solution

The fourth proportional to 7,000.80, 9,660.20 and 3,857.18 is: 5,322.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.80 : 9,660.20 = 3,857.18 : x
  2. Step 2: Convert to fraction form
    7,000.80/9,660.20 = 3,857.18/x
  3. Step 3: Cross multiply
    7,000.80x = 9,660.20 × 3,857.18
  4. Step 4: Simplify right side
    7,000.80x = 37,261,130.24
  5. Step 5: Solve for x
    x = 37,261,130.24/7,000.80
  6. Step 6: Final answer
    x = 5,322.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.