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Finding the Fourth Proportional to 7,129.41, 9,837.89 and 4,296.57

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Solution

The fourth proportional to 7,129.41, 9,837.89 and 4,296.57 is: 5,928.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.41 : 9,837.89 = 4,296.57 : x
  2. Step 2: Convert to fraction form
    7,129.41/9,837.89 = 4,296.57/x
  3. Step 3: Cross multiply
    7,129.41x = 9,837.89 × 4,296.57
  4. Step 4: Simplify right side
    7,129.41x = 42,269,183.04
  5. Step 5: Solve for x
    x = 42,269,183.04/7,129.41
  6. Step 6: Final answer
    x = 5,928.85

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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.