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Finding the Fourth Proportional to 9,891.24, 13,649.91 and 5,415.26

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Solution

The fourth proportional to 9,891.24, 13,649.91 and 5,415.26 is: 7,473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.24 : 13,649.91 = 5,415.26 : x
  2. Step 2: Convert to fraction form
    9,891.24/13,649.91 = 5,415.26/x
  3. Step 3: Cross multiply
    9,891.24x = 13,649.91 × 5,415.26
  4. Step 4: Simplify right side
    9,891.24x = 73,917,814.87
  5. Step 5: Solve for x
    x = 73,917,814.87/9,891.24
  6. Step 6: Final answer
    x = 7,473.06

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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.