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Finding the Fourth Proportional to 6,254.65, 9,376.22 and 2,969.29

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Solution

The fourth proportional to 6,254.65, 9,376.22 and 2,969.29 is: 4,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.65 : 9,376.22 = 2,969.29 : x
  2. Step 2: Convert to fraction form
    6,254.65/9,376.22 = 2,969.29/x
  3. Step 3: Cross multiply
    6,254.65x = 9,376.22 × 2,969.29
  4. Step 4: Simplify right side
    6,254.65x = 27,840,701.44
  5. Step 5: Solve for x
    x = 27,840,701.44/6,254.65
  6. Step 6: Final answer
    x = 4,451.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.