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Finding the Fourth Proportional to 6,321.64, 9,480.96 and 2,809.72

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Solution

The fourth proportional to 6,321.64, 9,480.96 and 2,809.72 is: 4,213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.64 : 9,480.96 = 2,809.72 : x
  2. Step 2: Convert to fraction form
    6,321.64/9,480.96 = 2,809.72/x
  3. Step 3: Cross multiply
    6,321.64x = 9,480.96 × 2,809.72
  4. Step 4: Simplify right side
    6,321.64x = 26,638,842.93
  5. Step 5: Solve for x
    x = 26,638,842.93/6,321.64
  6. Step 6: Final answer
    x = 4,213.91

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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.