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Finding the Fourth Proportional to 6,190.64, 9,287.40 and 1,808.16

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Solution

The fourth proportional to 6,190.64, 9,287.40 and 1,808.16 is: 2,712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.64 : 9,287.40 = 1,808.16 : x
  2. Step 2: Convert to fraction form
    6,190.64/9,287.40 = 1,808.16/x
  3. Step 3: Cross multiply
    6,190.64x = 9,287.40 × 1,808.16
  4. Step 4: Simplify right side
    6,190.64x = 16,793,105.18
  5. Step 5: Solve for x
    x = 16,793,105.18/6,190.64
  6. Step 6: Final answer
    x = 2,712.66

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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.