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Finding the Fourth Proportional to 7,126.67, 9,834.44 and 4,142.03

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Solution

The fourth proportional to 7,126.67, 9,834.44 and 4,142.03 is: 5,715.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.67 : 9,834.44 = 4,142.03 : x
  2. Step 2: Convert to fraction form
    7,126.67/9,834.44 = 4,142.03/x
  3. Step 3: Cross multiply
    7,126.67x = 9,834.44 × 4,142.03
  4. Step 4: Simplify right side
    7,126.67x = 40,734,475.63
  5. Step 5: Solve for x
    x = 40,734,475.63/7,126.67
  6. Step 6: Final answer
    x = 5,715.78

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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.