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Finding the Fourth Proportional to 9,194.91, 12,688.13 and 6,214.76

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Solution

The fourth proportional to 9,194.91, 12,688.13 and 6,214.76 is: 8,575.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.91 : 12,688.13 = 6,214.76 : x
  2. Step 2: Convert to fraction form
    9,194.91/12,688.13 = 6,214.76/x
  3. Step 3: Cross multiply
    9,194.91x = 12,688.13 × 6,214.76
  4. Step 4: Simplify right side
    9,194.91x = 78,853,588.28
  5. Step 5: Solve for x
    x = 78,853,588.28/9,194.91
  6. Step 6: Final answer
    x = 8,575.79

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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.