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Finding the Fourth Proportional to 9,604.32, 13,253.96 and 5,412.57

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Solution

The fourth proportional to 9,604.32, 13,253.96 and 5,412.57 is: 7,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.32 : 13,253.96 = 5,412.57 : x
  2. Step 2: Convert to fraction form
    9,604.32/13,253.96 = 5,412.57/x
  3. Step 3: Cross multiply
    9,604.32x = 13,253.96 × 5,412.57
  4. Step 4: Simplify right side
    9,604.32x = 71,737,959.21
  5. Step 5: Solve for x
    x = 71,737,959.21/9,604.32
  6. Step 6: Final answer
    x = 7,469.34

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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.