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Finding the Fourth Proportional to 9,304.53, 12,840.38 and 5,112.75

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Solution

The fourth proportional to 9,304.53, 12,840.38 and 5,112.75 is: 7,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.53 : 12,840.38 = 5,112.75 : x
  2. Step 2: Convert to fraction form
    9,304.53/12,840.38 = 5,112.75/x
  3. Step 3: Cross multiply
    9,304.53x = 12,840.38 × 5,112.75
  4. Step 4: Simplify right side
    9,304.53x = 65,649,627.28
  5. Step 5: Solve for x
    x = 65,649,627.28/9,304.53
  6. Step 6: Final answer
    x = 7,055.66

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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.