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Finding the Fourth Proportional to 9,304.24, 12,839.64 and 5,112.40

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Solution

The fourth proportional to 9,304.24, 12,839.64 and 5,112.40 is: 7,055.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.24 : 12,839.64 = 5,112.40 : x
  2. Step 2: Convert to fraction form
    9,304.24/12,839.64 = 5,112.40/x
  3. Step 3: Cross multiply
    9,304.24x = 12,839.64 × 5,112.40
  4. Step 4: Simplify right side
    9,304.24x = 65,641,375.54
  5. Step 5: Solve for x
    x = 65,641,375.54/9,304.24
  6. Step 6: Final answer
    x = 7,055.00

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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.