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Finding the Fourth Proportional to 9,190.33, 13,703.15 and 9,024.49

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Solution

The fourth proportional to 9,190.33, 13,703.15 and 9,024.49 is: 13,455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.33 : 13,703.15 = 9,024.49 : x
  2. Step 2: Convert to fraction form
    9,190.33/13,703.15 = 9,024.49/x
  3. Step 3: Cross multiply
    9,190.33x = 13,703.15 × 9,024.49
  4. Step 4: Simplify right side
    9,190.33x = 123,663,940.14
  5. Step 5: Solve for x
    x = 123,663,940.14/9,190.33
  6. Step 6: Final answer
    x = 13,455.88

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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.