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Finding the Fourth Proportional to 9,952.34, 13,733.69 and 5,475.38

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Solution

The fourth proportional to 9,952.34, 13,733.69 and 5,475.38 is: 7,555.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.34 : 13,733.69 = 5,475.38 : x
  2. Step 2: Convert to fraction form
    9,952.34/13,733.69 = 5,475.38/x
  3. Step 3: Cross multiply
    9,952.34x = 13,733.69 × 5,475.38
  4. Step 4: Simplify right side
    9,952.34x = 75,197,144.18
  5. Step 5: Solve for x
    x = 75,197,144.18/9,952.34
  6. Step 6: Final answer
    x = 7,555.73

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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.