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Finding the Fourth Proportional to 9,197.90, 13,798.67 and 3,653.85

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Solution

The fourth proportional to 9,197.90, 13,798.67 and 3,653.85 is: 5,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.90 : 13,798.67 = 3,653.85 : x
  2. Step 2: Convert to fraction form
    9,197.90/13,798.67 = 3,653.85/x
  3. Step 3: Cross multiply
    9,197.90x = 13,798.67 × 3,653.85
  4. Step 4: Simplify right side
    9,197.90x = 50,418,252.11
  5. Step 5: Solve for x
    x = 50,418,252.11/9,197.90
  6. Step 6: Final answer
    x = 5,481.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.