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Finding the Fourth Proportional to 6,496.08, 9,744.64 and 1,816.12

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Solution

The fourth proportional to 6,496.08, 9,744.64 and 1,816.12 is: 2,724.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.08 : 9,744.64 = 1,816.12 : x
  2. Step 2: Convert to fraction form
    6,496.08/9,744.64 = 1,816.12/x
  3. Step 3: Cross multiply
    6,496.08x = 9,744.64 × 1,816.12
  4. Step 4: Simplify right side
    6,496.08x = 17,697,443.24
  5. Step 5: Solve for x
    x = 17,697,443.24/6,496.08
  6. Step 6: Final answer
    x = 2,724.33

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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.