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Finding the Fourth Proportional to 7,084.95, 9,777.21 and 3,941.07

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Solution

The fourth proportional to 7,084.95, 9,777.21 and 3,941.07 is: 5,438.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.95 : 9,777.21 = 3,941.07 : x
  2. Step 2: Convert to fraction form
    7,084.95/9,777.21 = 3,941.07/x
  3. Step 3: Cross multiply
    7,084.95x = 9,777.21 × 3,941.07
  4. Step 4: Simplify right side
    7,084.95x = 38,532,669.01
  5. Step 5: Solve for x
    x = 38,532,669.01/7,084.95
  6. Step 6: Final answer
    x = 5,438.66

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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.