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Finding the Fourth Proportional to 6,617.82, 9,133.32 and 3,785.45

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Solution

The fourth proportional to 6,617.82, 9,133.32 and 3,785.45 is: 5,224.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.82 : 9,133.32 = 3,785.45 : x
  2. Step 2: Convert to fraction form
    6,617.82/9,133.32 = 3,785.45/x
  3. Step 3: Cross multiply
    6,617.82x = 9,133.32 × 3,785.45
  4. Step 4: Simplify right side
    6,617.82x = 34,573,707.27
  5. Step 5: Solve for x
    x = 34,573,707.27/6,617.82
  6. Step 6: Final answer
    x = 5,224.33

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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.