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Finding the Fourth Proportional to 6,049.20, 9,114.96 and 4,977.60

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Solution

The fourth proportional to 6,049.20, 9,114.96 and 4,977.60 is: 7,500.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.20 : 9,114.96 = 4,977.60 : x
  2. Step 2: Convert to fraction form
    6,049.20/9,114.96 = 4,977.60/x
  3. Step 3: Cross multiply
    6,049.20x = 9,114.96 × 4,977.60
  4. Step 4: Simplify right side
    6,049.20x = 45,370,624.90
  5. Step 5: Solve for x
    x = 45,370,624.90/6,049.20
  6. Step 6: Final answer
    x = 7,500.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.