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Finding the Fourth Proportional to 6,642.82, 9,165.48 and 4,871.32

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Solution

The fourth proportional to 6,642.82, 9,165.48 and 4,871.32 is: 6,721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.82 : 9,165.48 = 4,871.32 : x
  2. Step 2: Convert to fraction form
    6,642.82/9,165.48 = 4,871.32/x
  3. Step 3: Cross multiply
    6,642.82x = 9,165.48 × 4,871.32
  4. Step 4: Simplify right side
    6,642.82x = 44,647,986.03
  5. Step 5: Solve for x
    x = 44,647,986.03/6,642.82
  6. Step 6: Final answer
    x = 6,721.24

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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.