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Finding the Fourth Proportional to 6,544.72, 9,032.56 and 4,449.52

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Solution

The fourth proportional to 6,544.72, 9,032.56 and 4,449.52 is: 6,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.72 : 9,032.56 = 4,449.52 : x
  2. Step 2: Convert to fraction form
    6,544.72/9,032.56 = 4,449.52/x
  3. Step 3: Cross multiply
    6,544.72x = 9,032.56 × 4,449.52
  4. Step 4: Simplify right side
    6,544.72x = 40,190,556.37
  5. Step 5: Solve for x
    x = 40,190,556.37/6,544.72
  6. Step 6: Final answer
    x = 6,140.91

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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.