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Finding the Fourth Proportional to 6,114.83, 9,168.09 and 3,150.76

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Solution

The fourth proportional to 6,114.83, 9,168.09 and 3,150.76 is: 4,724.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.83 : 9,168.09 = 3,150.76 : x
  2. Step 2: Convert to fraction form
    6,114.83/9,168.09 = 3,150.76/x
  3. Step 3: Cross multiply
    6,114.83x = 9,168.09 × 3,150.76
  4. Step 4: Simplify right side
    6,114.83x = 28,886,446.60
  5. Step 5: Solve for x
    x = 28,886,446.60/6,114.83
  6. Step 6: Final answer
    x = 4,724.00

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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.