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Finding the Fourth Proportional to 6,455.40, 9,660.70 and 3,860.20

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Solution

The fourth proportional to 6,455.40, 9,660.70 and 3,860.20 is: 5,776.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.40 : 9,660.70 = 3,860.20 : x
  2. Step 2: Convert to fraction form
    6,455.40/9,660.70 = 3,860.20/x
  3. Step 3: Cross multiply
    6,455.40x = 9,660.70 × 3,860.20
  4. Step 4: Simplify right side
    6,455.40x = 37,292,234.14
  5. Step 5: Solve for x
    x = 37,292,234.14/6,455.40
  6. Step 6: Final answer
    x = 5,776.91

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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.