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Finding the Fourth Proportional to 9,304, 12,839.76 and 5,112.26

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Solution

The fourth proportional to 9,304, 12,839.76 and 5,112.26 is: 7,055.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304 : 12,839.76 = 5,112.26 : x
  2. Step 2: Convert to fraction form
    9,304/12,839.76 = 5,112.26/x
  3. Step 3: Cross multiply
    9,304x = 12,839.76 × 5,112.26
  4. Step 4: Simplify right side
    9,304x = 65,640,191.46
  5. Step 5: Solve for x
    x = 65,640,191.46/9,304
  6. Step 6: Final answer
    x = 7,055.05

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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.