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Finding the Fourth Proportional to 9,336.53, 12,883.65 and 5,144.78

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Solution

The fourth proportional to 9,336.53, 12,883.65 and 5,144.78 is: 7,099.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336.53 : 12,883.65 = 5,144.78 : x
  2. Step 2: Convert to fraction form
    9,336.53/12,883.65 = 5,144.78/x
  3. Step 3: Cross multiply
    9,336.53x = 12,883.65 × 5,144.78
  4. Step 4: Simplify right side
    9,336.53x = 66,283,544.85
  5. Step 5: Solve for x
    x = 66,283,544.85/9,336.53
  6. Step 6: Final answer
    x = 7,099.38

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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.