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Finding the Fourth Proportional to 9,735.77, 13,435.34 and 5,544.02

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Solution

The fourth proportional to 9,735.77, 13,435.34 and 5,544.02 is: 7,650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.77 : 13,435.34 = 5,544.02 : x
  2. Step 2: Convert to fraction form
    9,735.77/13,435.34 = 5,544.02/x
  3. Step 3: Cross multiply
    9,735.77x = 13,435.34 × 5,544.02
  4. Step 4: Simplify right side
    9,735.77x = 74,485,726.49
  5. Step 5: Solve for x
    x = 74,485,726.49/9,735.77
  6. Step 6: Final answer
    x = 7,650.73

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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.