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Finding the Fourth Proportional to 8,191.36, 12,289.20 and 4,294.72

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Solution

The fourth proportional to 8,191.36, 12,289.20 and 4,294.72 is: 6,443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.36 : 12,289.20 = 4,294.72 : x
  2. Step 2: Convert to fraction form
    8,191.36/12,289.20 = 4,294.72/x
  3. Step 3: Cross multiply
    8,191.36x = 12,289.20 × 4,294.72
  4. Step 4: Simplify right side
    8,191.36x = 52,778,673.02
  5. Step 5: Solve for x
    x = 52,778,673.02/8,191.36
  6. Step 6: Final answer
    x = 6,443.21

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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.