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Finding the Fourth Proportional to 7,084.86, 9,777.27 and 3,941.25

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Solution

The fourth proportional to 7,084.86, 9,777.27 and 3,941.25 is: 5,439.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.86 : 9,777.27 = 3,941.25 : x
  2. Step 2: Convert to fraction form
    7,084.86/9,777.27 = 3,941.25/x
  3. Step 3: Cross multiply
    7,084.86x = 9,777.27 × 3,941.25
  4. Step 4: Simplify right side
    7,084.86x = 38,534,665.39
  5. Step 5: Solve for x
    x = 38,534,665.39/7,084.86
  6. Step 6: Final answer
    x = 5,439.02

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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.