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Finding the Fourth Proportional to 7,085.10, 9,777.78 and 3,941.22

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Solution

The fourth proportional to 7,085.10, 9,777.78 and 3,941.22 is: 5,439.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.10 : 9,777.78 = 3,941.22 : x
  2. Step 2: Convert to fraction form
    7,085.10/9,777.78 = 3,941.22/x
  3. Step 3: Cross multiply
    7,085.10x = 9,777.78 × 3,941.22
  4. Step 4: Simplify right side
    7,085.10x = 38,536,382.09
  5. Step 5: Solve for x
    x = 38,536,382.09/7,085.10
  6. Step 6: Final answer
    x = 5,439.07

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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.