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Finding the Fourth Proportional to 9,759.12, 13,464.26 and 5,509.68

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Solution

The fourth proportional to 9,759.12, 13,464.26 and 5,509.68 is: 7,601.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.12 : 13,464.26 = 5,509.68 : x
  2. Step 2: Convert to fraction form
    9,759.12/13,464.26 = 5,509.68/x
  3. Step 3: Cross multiply
    9,759.12x = 13,464.26 × 5,509.68
  4. Step 4: Simplify right side
    9,759.12x = 74,183,736.49
  5. Step 5: Solve for x
    x = 74,183,736.49/9,759.12
  6. Step 6: Final answer
    x = 7,601.48

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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.