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Finding the Fourth Proportional to 6,174.80, 9,262.20 and 2,477.60

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Solution

The fourth proportional to 6,174.80, 9,262.20 and 2,477.60 is: 3,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.80 : 9,262.20 = 2,477.60 : x
  2. Step 2: Convert to fraction form
    6,174.80/9,262.20 = 2,477.60/x
  3. Step 3: Cross multiply
    6,174.80x = 9,262.20 × 2,477.60
  4. Step 4: Simplify right side
    6,174.80x = 22,948,026.72
  5. Step 5: Solve for x
    x = 22,948,026.72/6,174.80
  6. Step 6: Final answer
    x = 3,716.40

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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.