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Finding the Fourth Proportional to 9,304, 12,839.52 and 5,578.72

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Solution

The fourth proportional to 9,304, 12,839.52 and 5,578.72 is: 7,698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304 : 12,839.52 = 5,578.72 : x
  2. Step 2: Convert to fraction form
    9,304/12,839.52 = 5,578.72/x
  3. Step 3: Cross multiply
    9,304x = 12,839.52 × 5,578.72
  4. Step 4: Simplify right side
    9,304x = 71,628,087.01
  5. Step 5: Solve for x
    x = 71,628,087.01/9,304
  6. Step 6: Final answer
    x = 7,698.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.