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Finding the Fourth Proportional to 6,128, 9,190.08 and 2,232.32

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Solution

The fourth proportional to 6,128, 9,190.08 and 2,232.32 is: 3,347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128 : 9,190.08 = 2,232.32 : x
  2. Step 2: Convert to fraction form
    6,128/9,190.08 = 2,232.32/x
  3. Step 3: Cross multiply
    6,128x = 9,190.08 × 2,232.32
  4. Step 4: Simplify right side
    6,128x = 20,515,199.39
  5. Step 5: Solve for x
    x = 20,515,199.39/6,128
  6. Step 6: Final answer
    x = 3,347.78

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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.