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Finding the Fourth Proportional to 8,194.72, 12,289.56 and 2,349.76

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Solution

The fourth proportional to 8,194.72, 12,289.56 and 2,349.76 is: 3,523.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.72 : 12,289.56 = 2,349.76 : x
  2. Step 2: Convert to fraction form
    8,194.72/12,289.56 = 2,349.76/x
  3. Step 3: Cross multiply
    8,194.72x = 12,289.56 × 2,349.76
  4. Step 4: Simplify right side
    8,194.72x = 28,877,516.51
  5. Step 5: Solve for x
    x = 28,877,516.51/8,194.72
  6. Step 6: Final answer
    x = 3,523.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.