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Finding the Fourth Proportional to 6,188.28, 9,287.28 and 3,416.87

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Solution

The fourth proportional to 6,188.28, 9,287.28 and 3,416.87 is: 5,127.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.28 : 9,287.28 = 3,416.87 : x
  2. Step 2: Convert to fraction form
    6,188.28/9,287.28 = 3,416.87/x
  3. Step 3: Cross multiply
    6,188.28x = 9,287.28 × 3,416.87
  4. Step 4: Simplify right side
    6,188.28x = 31,733,381.98
  5. Step 5: Solve for x
    x = 31,733,381.98/6,188.28
  6. Step 6: Final answer
    x = 5,127.98

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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.