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Finding the Fourth Proportional to 9,809.22, 13,537.66 and 5,560.48

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Solution

The fourth proportional to 9,809.22, 13,537.66 and 5,560.48 is: 7,673.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.22 : 13,537.66 = 5,560.48 : x
  2. Step 2: Convert to fraction form
    9,809.22/13,537.66 = 5,560.48/x
  3. Step 3: Cross multiply
    9,809.22x = 13,537.66 × 5,560.48
  4. Step 4: Simplify right side
    9,809.22x = 75,275,839.93
  5. Step 5: Solve for x
    x = 75,275,839.93/9,809.22
  6. Step 6: Final answer
    x = 7,673.99

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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.