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Finding the Fourth Proportional to 9,645.68, 14,469.36 and 2,720.24

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Solution

The fourth proportional to 9,645.68, 14,469.36 and 2,720.24 is: 4,080.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.68 : 14,469.36 = 2,720.24 : x
  2. Step 2: Convert to fraction form
    9,645.68/14,469.36 = 2,720.24/x
  3. Step 3: Cross multiply
    9,645.68x = 14,469.36 × 2,720.24
  4. Step 4: Simplify right side
    9,645.68x = 39,360,131.85
  5. Step 5: Solve for x
    x = 39,360,131.85/9,645.68
  6. Step 6: Final answer
    x = 4,080.60

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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.