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Finding the Fourth Proportional to 9,021.75, 12,449.14 and 5,663.49

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Solution

The fourth proportional to 9,021.75, 12,449.14 and 5,663.49 is: 7,815.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.75 : 12,449.14 = 5,663.49 : x
  2. Step 2: Convert to fraction form
    9,021.75/12,449.14 = 5,663.49/x
  3. Step 3: Cross multiply
    9,021.75x = 12,449.14 × 5,663.49
  4. Step 4: Simplify right side
    9,021.75x = 70,505,579.90
  5. Step 5: Solve for x
    x = 70,505,579.90/9,021.75
  6. Step 6: Final answer
    x = 7,815.07

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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.