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Finding the Fourth Proportional to 9,252, 12,767.52 and 5,475.36

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Solution

The fourth proportional to 9,252, 12,767.52 and 5,475.36 is: 7,555.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252 : 12,767.52 = 5,475.36 : x
  2. Step 2: Convert to fraction form
    9,252/12,767.52 = 5,475.36/x
  3. Step 3: Cross multiply
    9,252x = 12,767.52 × 5,475.36
  4. Step 4: Simplify right side
    9,252x = 69,906,768.31
  5. Step 5: Solve for x
    x = 69,906,768.31/9,252
  6. Step 6: Final answer
    x = 7,555.85

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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.