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Finding the Fourth Proportional to 6,481.21, 9,707.22 and 4,542.07

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Solution

The fourth proportional to 6,481.21, 9,707.22 and 4,542.07 is: 6,802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.21 : 9,707.22 = 4,542.07 : x
  2. Step 2: Convert to fraction form
    6,481.21/9,707.22 = 4,542.07/x
  3. Step 3: Cross multiply
    6,481.21x = 9,707.22 × 4,542.07
  4. Step 4: Simplify right side
    6,481.21x = 44,090,824.21
  5. Step 5: Solve for x
    x = 44,090,824.21/6,481.21
  6. Step 6: Final answer
    x = 6,802.87

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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.