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Finding the Fourth Proportional to 6,513.40, 9,764.43 and 3,736.32

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Solution

The fourth proportional to 6,513.40, 9,764.43 and 3,736.32 is: 5,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.40 : 9,764.43 = 3,736.32 : x
  2. Step 2: Convert to fraction form
    6,513.40/9,764.43 = 3,736.32/x
  3. Step 3: Cross multiply
    6,513.40x = 9,764.43 × 3,736.32
  4. Step 4: Simplify right side
    6,513.40x = 36,483,035.10
  5. Step 5: Solve for x
    x = 36,483,035.10/6,513.40
  6. Step 6: Final answer
    x = 5,601.23

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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.