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Finding the Fourth Proportional to 6,400.04, 9,600.10 and 2,240.02

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Solution

The fourth proportional to 6,400.04, 9,600.10 and 2,240.02 is: 3,360.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.04 : 9,600.10 = 2,240.02 : x
  2. Step 2: Convert to fraction form
    6,400.04/9,600.10 = 2,240.02/x
  3. Step 3: Cross multiply
    6,400.04x = 9,600.10 × 2,240.02
  4. Step 4: Simplify right side
    6,400.04x = 21,504,416.00
  5. Step 5: Solve for x
    x = 21,504,416.00/6,400.04
  6. Step 6: Final answer
    x = 3,360.04

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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.