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Finding the Fourth Proportional to 6,160.77, 9,242.78 and 2,872.17

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Solution

The fourth proportional to 6,160.77, 9,242.78 and 2,872.17 is: 4,309.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.77 : 9,242.78 = 2,872.17 : x
  2. Step 2: Convert to fraction form
    6,160.77/9,242.78 = 2,872.17/x
  3. Step 3: Cross multiply
    6,160.77x = 9,242.78 × 2,872.17
  4. Step 4: Simplify right side
    6,160.77x = 26,546,821.07
  5. Step 5: Solve for x
    x = 26,546,821.07/6,160.77
  6. Step 6: Final answer
    x = 4,309.01

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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.