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Finding the Fourth Proportional to 6,781.48, 9,359.94 and 4,129

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Solution

The fourth proportional to 6,781.48, 9,359.94 and 4,129 is: 5,698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.48 : 9,359.94 = 4,129 : x
  2. Step 2: Convert to fraction form
    6,781.48/9,359.94 = 4,129/x
  3. Step 3: Cross multiply
    6,781.48x = 9,359.94 × 4,129
  4. Step 4: Simplify right side
    6,781.48x = 38,647,192.26
  5. Step 5: Solve for x
    x = 38,647,192.26/6,781.48
  6. Step 6: Final answer
    x = 5,698.93

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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.