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Finding the Fourth Proportional to 6,309.65, 9,466.29 and 2,612.07

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Solution

The fourth proportional to 6,309.65, 9,466.29 and 2,612.07 is: 3,918.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.65 : 9,466.29 = 2,612.07 : x
  2. Step 2: Convert to fraction form
    6,309.65/9,466.29 = 2,612.07/x
  3. Step 3: Cross multiply
    6,309.65x = 9,466.29 × 2,612.07
  4. Step 4: Simplify right side
    6,309.65x = 24,726,612.12
  5. Step 5: Solve for x
    x = 24,726,612.12/6,309.65
  6. Step 6: Final answer
    x = 3,918.86

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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.