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Finding the Fourth Proportional to 6,773.25, 9,347.10 and 4,120.17

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Solution

The fourth proportional to 6,773.25, 9,347.10 and 4,120.17 is: 5,685.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773.25 : 9,347.10 = 4,120.17 : x
  2. Step 2: Convert to fraction form
    6,773.25/9,347.10 = 4,120.17/x
  3. Step 3: Cross multiply
    6,773.25x = 9,347.10 × 4,120.17
  4. Step 4: Simplify right side
    6,773.25x = 38,511,641.01
  5. Step 5: Solve for x
    x = 38,511,641.01/6,773.25
  6. Step 6: Final answer
    x = 5,685.84

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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.