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Finding the Fourth Proportional to 9,099.08, 13,648.71 and 3,834.98

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Solution

The fourth proportional to 9,099.08, 13,648.71 and 3,834.98 is: 5,752.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.08 : 13,648.71 = 3,834.98 : x
  2. Step 2: Convert to fraction form
    9,099.08/13,648.71 = 3,834.98/x
  3. Step 3: Cross multiply
    9,099.08x = 13,648.71 × 3,834.98
  4. Step 4: Simplify right side
    9,099.08x = 52,342,529.88
  5. Step 5: Solve for x
    x = 52,342,529.88/9,099.08
  6. Step 6: Final answer
    x = 5,752.51

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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.