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Finding the Fourth Proportional to 9,290.68, 12,806.10 and 6,305.56

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Solution

The fourth proportional to 9,290.68, 12,806.10 and 6,305.56 is: 8,691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.68 : 12,806.10 = 6,305.56 : x
  2. Step 2: Convert to fraction form
    9,290.68/12,806.10 = 6,305.56/x
  3. Step 3: Cross multiply
    9,290.68x = 12,806.10 × 6,305.56
  4. Step 4: Simplify right side
    9,290.68x = 80,749,631.92
  5. Step 5: Solve for x
    x = 80,749,631.92/9,290.68
  6. Step 6: Final answer
    x = 8,691.47

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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.