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Finding the Fourth Proportional to 9,198, 13,787.34 and 4,511.52

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Solution

The fourth proportional to 9,198, 13,787.34 and 4,511.52 is: 6,762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198 : 13,787.34 = 4,511.52 : x
  2. Step 2: Convert to fraction form
    9,198/13,787.34 = 4,511.52/x
  3. Step 3: Cross multiply
    9,198x = 13,787.34 × 4,511.52
  4. Step 4: Simplify right side
    9,198x = 62,201,860.16
  5. Step 5: Solve for x
    x = 62,201,860.16/9,198
  6. Step 6: Final answer
    x = 6,762.54

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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.