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Finding the Fourth Proportional to 6,617.21, 9,130.50 and 4,494.44

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Solution

The fourth proportional to 6,617.21, 9,130.50 and 4,494.44 is: 6,201.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.21 : 9,130.50 = 4,494.44 : x
  2. Step 2: Convert to fraction form
    6,617.21/9,130.50 = 4,494.44/x
  3. Step 3: Cross multiply
    6,617.21x = 9,130.50 × 4,494.44
  4. Step 4: Simplify right side
    6,617.21x = 41,036,443.25
  5. Step 5: Solve for x
    x = 41,036,443.25/6,617.21
  6. Step 6: Final answer
    x = 6,201.47

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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.