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Finding the Fourth Proportional to 6,188.47, 9,284.76 and 2,489.74

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Solution

The fourth proportional to 6,188.47, 9,284.76 and 2,489.74 is: 3,735.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.47 : 9,284.76 = 2,489.74 : x
  2. Step 2: Convert to fraction form
    6,188.47/9,284.76 = 2,489.74/x
  3. Step 3: Cross multiply
    6,188.47x = 9,284.76 × 2,489.74
  4. Step 4: Simplify right side
    6,188.47x = 23,116,615.15
  5. Step 5: Solve for x
    x = 23,116,615.15/6,188.47
  6. Step 6: Final answer
    x = 3,735.43

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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.