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Finding the Fourth Proportional to 9,900.38, 13,663.06 and 5,650.56

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Solution

The fourth proportional to 9,900.38, 13,663.06 and 5,650.56 is: 7,798.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.38 : 13,663.06 = 5,650.56 : x
  2. Step 2: Convert to fraction form
    9,900.38/13,663.06 = 5,650.56/x
  3. Step 3: Cross multiply
    9,900.38x = 13,663.06 × 5,650.56
  4. Step 4: Simplify right side
    9,900.38x = 77,203,957.97
  5. Step 5: Solve for x
    x = 77,203,957.97/9,900.38
  6. Step 6: Final answer
    x = 7,798.08

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Why These Related Problems?

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