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Finding the Fourth Proportional to 9,322.26, 12,861.82 and 5,288.42

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Solution

The fourth proportional to 9,322.26, 12,861.82 and 5,288.42 is: 7,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.26 : 12,861.82 = 5,288.42 : x
  2. Step 2: Convert to fraction form
    9,322.26/12,861.82 = 5,288.42/x
  3. Step 3: Cross multiply
    9,322.26x = 12,861.82 × 5,288.42
  4. Step 4: Simplify right side
    9,322.26x = 68,018,725.06
  5. Step 5: Solve for x
    x = 68,018,725.06/9,322.26
  6. Step 6: Final answer
    x = 7,296.38

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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.