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Finding the Fourth Proportional to 9,511.15, 14,197.99 and 8,344.75

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Solution

The fourth proportional to 9,511.15, 14,197.99 and 8,344.75 is: 12,456.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.15 : 14,197.99 = 8,344.75 : x
  2. Step 2: Convert to fraction form
    9,511.15/14,197.99 = 8,344.75/x
  3. Step 3: Cross multiply
    9,511.15x = 14,197.99 × 8,344.75
  4. Step 4: Simplify right side
    9,511.15x = 118,478,697.91
  5. Step 5: Solve for x
    x = 118,478,697.91/9,511.15
  6. Step 6: Final answer
    x = 12,456.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.