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Finding the Fourth Proportional to 6,573.12, 9,851.40 and 5,749.44

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Solution

The fourth proportional to 6,573.12, 9,851.40 and 5,749.44 is: 8,616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.12 : 9,851.40 = 5,749.44 : x
  2. Step 2: Convert to fraction form
    6,573.12/9,851.40 = 5,749.44/x
  3. Step 3: Cross multiply
    6,573.12x = 9,851.40 × 5,749.44
  4. Step 4: Simplify right side
    6,573.12x = 56,640,033.22
  5. Step 5: Solve for x
    x = 56,640,033.22/6,573.12
  6. Step 6: Final answer
    x = 8,616.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.