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Finding the Fourth Proportional to 6,496.02, 8,964.02 and 3,663.25

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Solution

The fourth proportional to 6,496.02, 8,964.02 and 3,663.25 is: 5,055.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.02 : 8,964.02 = 3,663.25 : x
  2. Step 2: Convert to fraction form
    6,496.02/8,964.02 = 3,663.25/x
  3. Step 3: Cross multiply
    6,496.02x = 8,964.02 × 3,663.25
  4. Step 4: Simplify right side
    6,496.02x = 32,837,433.01
  5. Step 5: Solve for x
    x = 32,837,433.01/6,496.02
  6. Step 6: Final answer
    x = 5,055.01

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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.