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Finding the Fourth Proportional to 6,188.86, 9,283.31 and 4,348.20

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Solution

The fourth proportional to 6,188.86, 9,283.31 and 4,348.20 is: 6,522.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.86 : 9,283.31 = 4,348.20 : x
  2. Step 2: Convert to fraction form
    6,188.86/9,283.31 = 4,348.20/x
  3. Step 3: Cross multiply
    6,188.86x = 9,283.31 × 4,348.20
  4. Step 4: Simplify right side
    6,188.86x = 40,365,620.38
  5. Step 5: Solve for x
    x = 40,365,620.38/6,188.86
  6. Step 6: Final answer
    x = 6,522.30

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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.