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Finding the Fourth Proportional to 6,798.24, 9,372.96 and 4,436.64

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Solution

The fourth proportional to 6,798.24, 9,372.96 and 4,436.64 is: 6,116.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.24 : 9,372.96 = 4,436.64 : x
  2. Step 2: Convert to fraction form
    6,798.24/9,372.96 = 4,436.64/x
  3. Step 3: Cross multiply
    6,798.24x = 9,372.96 × 4,436.64
  4. Step 4: Simplify right side
    6,798.24x = 41,584,449.25
  5. Step 5: Solve for x
    x = 41,584,449.25/6,798.24
  6. Step 6: Final answer
    x = 6,116.94

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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.