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Finding the Fourth Proportional to 9,752.49, 14,616.81 and 4,194.09

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Solution

The fourth proportional to 9,752.49, 14,616.81 and 4,194.09 is: 6,286.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.49 : 14,616.81 = 4,194.09 : x
  2. Step 2: Convert to fraction form
    9,752.49/14,616.81 = 4,194.09/x
  3. Step 3: Cross multiply
    9,752.49x = 14,616.81 × 4,194.09
  4. Step 4: Simplify right side
    9,752.49x = 61,304,216.65
  5. Step 5: Solve for x
    x = 61,304,216.65/9,752.49
  6. Step 6: Final answer
    x = 6,286.01

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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.