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Finding the Fourth Proportional to 6,711.25, 9,262.62 and 3,916.21

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Solution

The fourth proportional to 6,711.25, 9,262.62 and 3,916.21 is: 5,405.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.25 : 9,262.62 = 3,916.21 : x
  2. Step 2: Convert to fraction form
    6,711.25/9,262.62 = 3,916.21/x
  3. Step 3: Cross multiply
    6,711.25x = 9,262.62 × 3,916.21
  4. Step 4: Simplify right side
    6,711.25x = 36,274,365.07
  5. Step 5: Solve for x
    x = 36,274,365.07/6,711.25
  6. Step 6: Final answer
    x = 5,405.01

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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.