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Finding the Fourth Proportional to 9,189, 13,696.32 and 8,911.98

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Solution

The fourth proportional to 9,189, 13,696.32 and 8,911.98 is: 13,283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189 : 13,696.32 = 8,911.98 : x
  2. Step 2: Convert to fraction form
    9,189/13,696.32 = 8,911.98/x
  3. Step 3: Cross multiply
    9,189x = 13,696.32 × 8,911.98
  4. Step 4: Simplify right side
    9,189x = 122,061,329.91
  5. Step 5: Solve for x
    x = 122,061,329.91/9,189
  6. Step 6: Final answer
    x = 13,283.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.