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Finding the Fourth Proportional to 9,729.05, 13,425.53 and 5,750.52

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Solution

The fourth proportional to 9,729.05, 13,425.53 and 5,750.52 is: 7,935.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.05 : 13,425.53 = 5,750.52 : x
  2. Step 2: Convert to fraction form
    9,729.05/13,425.53 = 5,750.52/x
  3. Step 3: Cross multiply
    9,729.05x = 13,425.53 × 5,750.52
  4. Step 4: Simplify right side
    9,729.05x = 77,203,750.02
  5. Step 5: Solve for x
    x = 77,203,750.02/9,729.05
  6. Step 6: Final answer
    x = 7,935.39

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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.