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Finding the Fourth Proportional to 9,749.88, 13,449.78 and 6,206.94

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Solution

The fourth proportional to 9,749.88, 13,449.78 and 6,206.94 is: 8,562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.88 : 13,449.78 = 6,206.94 : x
  2. Step 2: Convert to fraction form
    9,749.88/13,449.78 = 6,206.94/x
  3. Step 3: Cross multiply
    9,749.88x = 13,449.78 × 6,206.94
  4. Step 4: Simplify right side
    9,749.88x = 83,481,977.47
  5. Step 5: Solve for x
    x = 83,481,977.47/9,749.88
  6. Step 6: Final answer
    x = 8,562.36

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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.