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Finding the Fourth Proportional to 6,538.44, 9,015.54 and 4,963.80

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Solution

The fourth proportional to 6,538.44, 9,015.54 and 4,963.80 is: 6,844.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.44 : 9,015.54 = 4,963.80 : x
  2. Step 2: Convert to fraction form
    6,538.44/9,015.54 = 4,963.80/x
  3. Step 3: Cross multiply
    6,538.44x = 9,015.54 × 4,963.80
  4. Step 4: Simplify right side
    6,538.44x = 44,751,337.45
  5. Step 5: Solve for x
    x = 44,751,337.45/6,538.44
  6. Step 6: Final answer
    x = 6,844.34

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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.