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Finding the Fourth Proportional to 6,188.88, 9,284.52 and 2,293.32

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Solution

The fourth proportional to 6,188.88, 9,284.52 and 2,293.32 is: 3,440.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.88 : 9,284.52 = 2,293.32 : x
  2. Step 2: Convert to fraction form
    6,188.88/9,284.52 = 2,293.32/x
  3. Step 3: Cross multiply
    6,188.88x = 9,284.52 × 2,293.32
  4. Step 4: Simplify right side
    6,188.88x = 21,292,375.41
  5. Step 5: Solve for x
    x = 21,292,375.41/6,188.88
  6. Step 6: Final answer
    x = 3,440.42

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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.