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Finding the Fourth Proportional to 7,941.22, 10,933.90 and 6,743.84

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Solution

The fourth proportional to 7,941.22, 10,933.90 and 6,743.84 is: 9,285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,941.22 : 10,933.90 = 6,743.84 : x
  2. Step 2: Convert to fraction form
    7,941.22/10,933.90 = 6,743.84/x
  3. Step 3: Cross multiply
    7,941.22x = 10,933.90 × 6,743.84
  4. Step 4: Simplify right side
    7,941.22x = 73,736,472.18
  5. Step 5: Solve for x
    x = 73,736,472.18/7,941.22
  6. Step 6: Final answer
    x = 9,285.28

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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.