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Finding the Fourth Proportional to 9,304.34, 12,839.38 and 5,112.32

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Solution

The fourth proportional to 9,304.34, 12,839.38 and 5,112.32 is: 7,054.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.34 : 12,839.38 = 5,112.32 : x
  2. Step 2: Convert to fraction form
    9,304.34/12,839.38 = 5,112.32/x
  3. Step 3: Cross multiply
    9,304.34x = 12,839.38 × 5,112.32
  4. Step 4: Simplify right side
    9,304.34x = 65,638,942.18
  5. Step 5: Solve for x
    x = 65,638,942.18/9,304.34
  6. Step 6: Final answer
    x = 7,054.66

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Why These Related Problems?

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