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Finding the Fourth Proportional to 6,617.64, 9,132.28 and 3,633.45

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Solution

The fourth proportional to 6,617.64, 9,132.28 and 3,633.45 is: 5,014.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.64 : 9,132.28 = 3,633.45 : x
  2. Step 2: Convert to fraction form
    6,617.64/9,132.28 = 3,633.45/x
  3. Step 3: Cross multiply
    6,617.64x = 9,132.28 × 3,633.45
  4. Step 4: Simplify right side
    6,617.64x = 33,181,639.44
  5. Step 5: Solve for x
    x = 33,181,639.44/6,617.64
  6. Step 6: Final answer
    x = 5,014.12

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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.