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Finding the Fourth Proportional to 7,134.26, 9,840.57 and 4,299.71

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Solution

The fourth proportional to 7,134.26, 9,840.57 and 4,299.71 is: 5,930.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.26 : 9,840.57 = 4,299.71 : x
  2. Step 2: Convert to fraction form
    7,134.26/9,840.57 = 4,299.71/x
  3. Step 3: Cross multiply
    7,134.26x = 9,840.57 × 4,299.71
  4. Step 4: Simplify right side
    7,134.26x = 42,311,548.03
  5. Step 5: Solve for x
    x = 42,311,548.03/7,134.26
  6. Step 6: Final answer
    x = 5,930.76

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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.