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Finding the Fourth Proportional to 9,331.26, 12,855.22 and 6,493.76

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Solution

The fourth proportional to 9,331.26, 12,855.22 and 6,493.76 is: 8,946.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.26 : 12,855.22 = 6,493.76 : x
  2. Step 2: Convert to fraction form
    9,331.26/12,855.22 = 6,493.76/x
  3. Step 3: Cross multiply
    9,331.26x = 12,855.22 × 6,493.76
  4. Step 4: Simplify right side
    9,331.26x = 83,478,713.43
  5. Step 5: Solve for x
    x = 83,478,713.43/9,331.26
  6. Step 6: Final answer
    x = 8,946.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.