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Finding the Fourth Proportional to 9,098.10, 13,650.48 and 3,834.43

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Solution

The fourth proportional to 9,098.10, 13,650.48 and 3,834.43 is: 5,753.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.10 : 13,650.48 = 3,834.43 : x
  2. Step 2: Convert to fraction form
    9,098.10/13,650.48 = 3,834.43/x
  3. Step 3: Cross multiply
    9,098.10x = 13,650.48 × 3,834.43
  4. Step 4: Simplify right side
    9,098.10x = 52,341,810.03
  5. Step 5: Solve for x
    x = 52,341,810.03/9,098.10
  6. Step 6: Final answer
    x = 5,753.05

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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.