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Finding the Fourth Proportional to 9,898.68, 13,661.72 and 5,649.73

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Solution

The fourth proportional to 9,898.68, 13,661.72 and 5,649.73 is: 7,797.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.68 : 13,661.72 = 5,649.73 : x
  2. Step 2: Convert to fraction form
    9,898.68/13,661.72 = 5,649.73/x
  3. Step 3: Cross multiply
    9,898.68x = 13,661.72 × 5,649.73
  4. Step 4: Simplify right side
    9,898.68x = 77,185,029.34
  5. Step 5: Solve for x
    x = 77,185,029.34/9,898.68
  6. Step 6: Final answer
    x = 7,797.51

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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.