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Finding the Fourth Proportional to 9,998.26, 13,798.14 and 5,749.27

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Solution

The fourth proportional to 9,998.26, 13,798.14 and 5,749.27 is: 7,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.26 : 13,798.14 = 5,749.27 : x
  2. Step 2: Convert to fraction form
    9,998.26/13,798.14 = 5,749.27/x
  3. Step 3: Cross multiply
    9,998.26x = 13,798.14 × 5,749.27
  4. Step 4: Simplify right side
    9,998.26x = 79,329,232.36
  5. Step 5: Solve for x
    x = 79,329,232.36/9,998.26
  6. Step 6: Final answer
    x = 7,934.30

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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.