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Finding the Fourth Proportional to 6,077.46, 9,116.06 and 1,694.80

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Solution

The fourth proportional to 6,077.46, 9,116.06 and 1,694.80 is: 2,542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.46 : 9,116.06 = 1,694.80 : x
  2. Step 2: Convert to fraction form
    6,077.46/9,116.06 = 1,694.80/x
  3. Step 3: Cross multiply
    6,077.46x = 9,116.06 × 1,694.80
  4. Step 4: Simplify right side
    6,077.46x = 15,449,898.49
  5. Step 5: Solve for x
    x = 15,449,898.49/6,077.46
  6. Step 6: Final answer
    x = 2,542.16

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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.