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Finding the Fourth Proportional to 9,857.53, 13,603.41 and 5,608.48

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Solution

The fourth proportional to 9,857.53, 13,603.41 and 5,608.48 is: 7,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.53 : 13,603.41 = 5,608.48 : x
  2. Step 2: Convert to fraction form
    9,857.53/13,603.41 = 5,608.48/x
  3. Step 3: Cross multiply
    9,857.53x = 13,603.41 × 5,608.48
  4. Step 4: Simplify right side
    9,857.53x = 76,294,452.92
  5. Step 5: Solve for x
    x = 76,294,452.92/9,857.53
  6. Step 6: Final answer
    x = 7,739.71

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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.