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Finding the Fourth Proportional to 9,098.60, 13,651.23 and 3,834.93

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Solution

The fourth proportional to 9,098.60, 13,651.23 and 3,834.93 is: 5,753.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.60 : 13,651.23 = 3,834.93 : x
  2. Step 2: Convert to fraction form
    9,098.60/13,651.23 = 3,834.93/x
  3. Step 3: Cross multiply
    9,098.60x = 13,651.23 × 3,834.93
  4. Step 4: Simplify right side
    9,098.60x = 52,351,511.46
  5. Step 5: Solve for x
    x = 52,351,511.46/9,098.60
  6. Step 6: Final answer
    x = 5,753.80

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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.