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Finding the Fourth Proportional to 6,499.63, 8,969.48 and 3,667

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Solution

The fourth proportional to 6,499.63, 8,969.48 and 3,667 is: 5,060.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.63 : 8,969.48 = 3,667 : x
  2. Step 2: Convert to fraction form
    6,499.63/8,969.48 = 3,667/x
  3. Step 3: Cross multiply
    6,499.63x = 8,969.48 × 3,667
  4. Step 4: Simplify right side
    6,499.63x = 32,891,083.16
  5. Step 5: Solve for x
    x = 32,891,083.16/6,499.63
  6. Step 6: Final answer
    x = 5,060.45

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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.