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Finding the Fourth Proportional to 9,221.95, 13,834.38 and 4,778.23

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Solution

The fourth proportional to 9,221.95, 13,834.38 and 4,778.23 is: 7,168.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.95 : 13,834.38 = 4,778.23 : x
  2. Step 2: Convert to fraction form
    9,221.95/13,834.38 = 4,778.23/x
  3. Step 3: Cross multiply
    9,221.95x = 13,834.38 × 4,778.23
  4. Step 4: Simplify right side
    9,221.95x = 66,103,849.55
  5. Step 5: Solve for x
    x = 66,103,849.55/9,221.95
  6. Step 6: Final answer
    x = 7,168.10

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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.