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Finding the Fourth Proportional to 6,174.40, 9,261.60 and 2,281.60

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Solution

The fourth proportional to 6,174.40, 9,261.60 and 2,281.60 is: 3,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.40 : 9,261.60 = 2,281.60 : x
  2. Step 2: Convert to fraction form
    6,174.40/9,261.60 = 2,281.60/x
  3. Step 3: Cross multiply
    6,174.40x = 9,261.60 × 2,281.60
  4. Step 4: Simplify right side
    6,174.40x = 21,131,266.56
  5. Step 5: Solve for x
    x = 21,131,266.56/6,174.40
  6. Step 6: Final answer
    x = 3,422.40

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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.