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Finding the Fourth Proportional to 6,480.30, 9,720.93 and 2,321.10

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Solution

The fourth proportional to 6,480.30, 9,720.93 and 2,321.10 is: 3,481.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.30 : 9,720.93 = 2,321.10 : x
  2. Step 2: Convert to fraction form
    6,480.30/9,720.93 = 2,321.10/x
  3. Step 3: Cross multiply
    6,480.30x = 9,720.93 × 2,321.10
  4. Step 4: Simplify right side
    6,480.30x = 22,563,250.62
  5. Step 5: Solve for x
    x = 22,563,250.62/6,480.30
  6. Step 6: Final answer
    x = 3,481.82

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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.