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Finding the Fourth Proportional to 6,206.64, 9,312.96 and 2,743.44

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Solution

The fourth proportional to 6,206.64, 9,312.96 and 2,743.44 is: 4,116.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.64 : 9,312.96 = 2,743.44 : x
  2. Step 2: Convert to fraction form
    6,206.64/9,312.96 = 2,743.44/x
  3. Step 3: Cross multiply
    6,206.64x = 9,312.96 × 2,743.44
  4. Step 4: Simplify right side
    6,206.64x = 25,549,546.98
  5. Step 5: Solve for x
    x = 25,549,546.98/6,206.64
  6. Step 6: Final answer
    x = 4,116.49

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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.