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Finding the Fourth Proportional to 6,429.39, 9,633.07 and 3,509.74

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Solution

The fourth proportional to 6,429.39, 9,633.07 and 3,509.74 is: 5,258.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.39 : 9,633.07 = 3,509.74 : x
  2. Step 2: Convert to fraction form
    6,429.39/9,633.07 = 3,509.74/x
  3. Step 3: Cross multiply
    6,429.39x = 9,633.07 × 3,509.74
  4. Step 4: Simplify right side
    6,429.39x = 33,809,571.10
  5. Step 5: Solve for x
    x = 33,809,571.10/6,429.39
  6. Step 6: Final answer
    x = 5,258.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.