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Finding the Fourth Proportional to 7,076.42, 9,764.67 and 4,243.91

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Solution

The fourth proportional to 7,076.42, 9,764.67 and 4,243.91 is: 5,856.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.42 : 9,764.67 = 4,243.91 : x
  2. Step 2: Convert to fraction form
    7,076.42/9,764.67 = 4,243.91/x
  3. Step 3: Cross multiply
    7,076.42x = 9,764.67 × 4,243.91
  4. Step 4: Simplify right side
    7,076.42x = 41,440,377.46
  5. Step 5: Solve for x
    x = 41,440,377.46/7,076.42
  6. Step 6: Final answer
    x = 5,856.12

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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.