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Finding the Fourth Proportional to 7,084.86, 9,777.16 and 3,941.05

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Solution

The fourth proportional to 7,084.86, 9,777.16 and 3,941.05 is: 5,438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.86 : 9,777.16 = 3,941.05 : x
  2. Step 2: Convert to fraction form
    7,084.86/9,777.16 = 3,941.05/x
  3. Step 3: Cross multiply
    7,084.86x = 9,777.16 × 3,941.05
  4. Step 4: Simplify right side
    7,084.86x = 38,532,266.75
  5. Step 5: Solve for x
    x = 38,532,266.75/7,084.86
  6. Step 6: Final answer
    x = 5,438.68

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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.