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Finding the Fourth Proportional to 6,080.29, 9,120.43 and 1,463.29

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Solution

The fourth proportional to 6,080.29, 9,120.43 and 1,463.29 is: 2,194.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,080.29 : 9,120.43 = 1,463.29 : x
  2. Step 2: Convert to fraction form
    6,080.29/9,120.43 = 1,463.29/x
  3. Step 3: Cross multiply
    6,080.29x = 9,120.43 × 1,463.29
  4. Step 4: Simplify right side
    6,080.29x = 13,345,788.41
  5. Step 5: Solve for x
    x = 13,345,788.41/6,080.29
  6. Step 6: Final answer
    x = 2,194.93

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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.