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Finding the Fourth Proportional to 6,617.59, 9,132.47 and 3,633.63

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Solution

The fourth proportional to 6,617.59, 9,132.47 and 3,633.63 is: 5,014.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.59 : 9,132.47 = 3,633.63 : x
  2. Step 2: Convert to fraction form
    6,617.59/9,132.47 = 3,633.63/x
  3. Step 3: Cross multiply
    6,617.59x = 9,132.47 × 3,633.63
  4. Step 4: Simplify right side
    6,617.59x = 33,184,016.97
  5. Step 5: Solve for x
    x = 33,184,016.97/6,617.59
  6. Step 6: Final answer
    x = 5,014.52

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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.