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Finding the Fourth Proportional to 9,098.98, 13,628.66 and 5,578.34

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Solution

The fourth proportional to 9,098.98, 13,628.66 and 5,578.34 is: 8,355.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.98 : 13,628.66 = 5,578.34 : x
  2. Step 2: Convert to fraction form
    9,098.98/13,628.66 = 5,578.34/x
  3. Step 3: Cross multiply
    9,098.98x = 13,628.66 × 5,578.34
  4. Step 4: Simplify right side
    9,098.98x = 76,025,299.22
  5. Step 5: Solve for x
    x = 76,025,299.22/9,098.98
  6. Step 6: Final answer
    x = 8,355.37

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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.