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Finding the Fourth Proportional to 6,100.20, 9,152.64 and 2,205

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Solution

The fourth proportional to 6,100.20, 9,152.64 and 2,205 is: 3,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.20 : 9,152.64 = 2,205 : x
  2. Step 2: Convert to fraction form
    6,100.20/9,152.64 = 2,205/x
  3. Step 3: Cross multiply
    6,100.20x = 9,152.64 × 2,205
  4. Step 4: Simplify right side
    6,100.20x = 20,181,571.20
  5. Step 5: Solve for x
    x = 20,181,571.20/6,100.20
  6. Step 6: Final answer
    x = 3,308.35

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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.