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Finding the Fourth Proportional to 6,282.40, 9,410.80 and 3,642.20

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Solution

The fourth proportional to 6,282.40, 9,410.80 and 3,642.20 is: 5,455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.40 : 9,410.80 = 3,642.20 : x
  2. Step 2: Convert to fraction form
    6,282.40/9,410.80 = 3,642.20/x
  3. Step 3: Cross multiply
    6,282.40x = 9,410.80 × 3,642.20
  4. Step 4: Simplify right side
    6,282.40x = 34,276,015.76
  5. Step 5: Solve for x
    x = 34,276,015.76/6,282.40
  6. Step 6: Final answer
    x = 5,455.88

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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.