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Finding the Fourth Proportional to 6,411.32, 9,617.94 and 2,251.82

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Solution

The fourth proportional to 6,411.32, 9,617.94 and 2,251.82 is: 3,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.32 : 9,617.94 = 2,251.82 : x
  2. Step 2: Convert to fraction form
    6,411.32/9,617.94 = 2,251.82/x
  3. Step 3: Cross multiply
    6,411.32x = 9,617.94 × 2,251.82
  4. Step 4: Simplify right side
    6,411.32x = 21,657,869.65
  5. Step 5: Solve for x
    x = 21,657,869.65/6,411.32
  6. Step 6: Final answer
    x = 3,378.07

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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.