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Finding the Fourth Proportional to 6,468.48, 9,704.24 and 2,085.97

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Solution

The fourth proportional to 6,468.48, 9,704.24 and 2,085.97 is: 3,129.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.48 : 9,704.24 = 2,085.97 : x
  2. Step 2: Convert to fraction form
    6,468.48/9,704.24 = 2,085.97/x
  3. Step 3: Cross multiply
    6,468.48x = 9,704.24 × 2,085.97
  4. Step 4: Simplify right side
    6,468.48x = 20,242,753.51
  5. Step 5: Solve for x
    x = 20,242,753.51/6,468.48
  6. Step 6: Final answer
    x = 3,129.45

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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.