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Finding the Fourth Proportional to 6,298.79, 9,422.21 and 5,175.56

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Solution

The fourth proportional to 6,298.79, 9,422.21 and 5,175.56 is: 7,742.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.79 : 9,422.21 = 5,175.56 : x
  2. Step 2: Convert to fraction form
    6,298.79/9,422.21 = 5,175.56/x
  3. Step 3: Cross multiply
    6,298.79x = 9,422.21 × 5,175.56
  4. Step 4: Simplify right side
    6,298.79x = 48,765,202.65
  5. Step 5: Solve for x
    x = 48,765,202.65/6,298.79
  6. Step 6: Final answer
    x = 7,742.00

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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.