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Finding the Fourth Proportional to 9,326.78, 12,872.12 and 5,347.82

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Solution

The fourth proportional to 9,326.78, 12,872.12 and 5,347.82 is: 7,380.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.78 : 12,872.12 = 5,347.82 : x
  2. Step 2: Convert to fraction form
    9,326.78/12,872.12 = 5,347.82/x
  3. Step 3: Cross multiply
    9,326.78x = 12,872.12 × 5,347.82
  4. Step 4: Simplify right side
    9,326.78x = 68,837,786.22
  5. Step 5: Solve for x
    x = 68,837,786.22/9,326.78
  6. Step 6: Final answer
    x = 7,380.66

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1.5x scale

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.