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Finding the Fourth Proportional to 9,797.81, 13,523.33 and 5,608.49

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Solution

The fourth proportional to 9,797.81, 13,523.33 and 5,608.49 is: 7,741.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.81 : 13,523.33 = 5,608.49 : x
  2. Step 2: Convert to fraction form
    9,797.81/13,523.33 = 5,608.49/x
  3. Step 3: Cross multiply
    9,797.81x = 13,523.33 × 5,608.49
  4. Step 4: Simplify right side
    9,797.81x = 75,845,461.07
  5. Step 5: Solve for x
    x = 75,845,461.07/9,797.81
  6. Step 6: Final answer
    x = 7,741.06

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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.