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Finding the Fourth Proportional to 6,558.27, 9,840.32 and 3,437.54

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Solution

The fourth proportional to 6,558.27, 9,840.32 and 3,437.54 is: 5,157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.27 : 9,840.32 = 3,437.54 : x
  2. Step 2: Convert to fraction form
    6,558.27/9,840.32 = 3,437.54/x
  3. Step 3: Cross multiply
    6,558.27x = 9,840.32 × 3,437.54
  4. Step 4: Simplify right side
    6,558.27x = 33,826,427.22
  5. Step 5: Solve for x
    x = 33,826,427.22/6,558.27
  6. Step 6: Final answer
    x = 5,157.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.