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Finding the Fourth Proportional to 6,499.44, 9,727.65 and 3,533.28

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Solution

The fourth proportional to 6,499.44, 9,727.65 and 3,533.28 is: 5,288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.44 : 9,727.65 = 3,533.28 : x
  2. Step 2: Convert to fraction form
    6,499.44/9,727.65 = 3,533.28/x
  3. Step 3: Cross multiply
    6,499.44x = 9,727.65 × 3,533.28
  4. Step 4: Simplify right side
    6,499.44x = 34,370,511.19
  5. Step 5: Solve for x
    x = 34,370,511.19/6,499.44
  6. Step 6: Final answer
    x = 5,288.23

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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.