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Finding the Fourth Proportional to 6,544.44, 9,023.82 and 4,969.80

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Solution

The fourth proportional to 6,544.44, 9,023.82 and 4,969.80 is: 6,852.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.44 : 9,023.82 = 4,969.80 : x
  2. Step 2: Convert to fraction form
    6,544.44/9,023.82 = 4,969.80/x
  3. Step 3: Cross multiply
    6,544.44x = 9,023.82 × 4,969.80
  4. Step 4: Simplify right side
    6,544.44x = 44,846,580.64
  5. Step 5: Solve for x
    x = 44,846,580.64/6,544.44
  6. Step 6: Final answer
    x = 6,852.62

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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.