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Finding the Fourth Proportional to 9,446.78, 13,035.89 and 5,197.75

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Solution

The fourth proportional to 9,446.78, 13,035.89 and 5,197.75 is: 7,172.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.78 : 13,035.89 = 5,197.75 : x
  2. Step 2: Convert to fraction form
    9,446.78/13,035.89 = 5,197.75/x
  3. Step 3: Cross multiply
    9,446.78x = 13,035.89 × 5,197.75
  4. Step 4: Simplify right side
    9,446.78x = 67,757,277.65
  5. Step 5: Solve for x
    x = 67,757,277.65/9,446.78
  6. Step 6: Final answer
    x = 7,172.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.