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Finding the Fourth Proportional to 6,191.92, 9,297.60 and 4,899.12

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Solution

The fourth proportional to 6,191.92, 9,297.60 and 4,899.12 is: 7,356.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.92 : 9,297.60 = 4,899.12 : x
  2. Step 2: Convert to fraction form
    6,191.92/9,297.60 = 4,899.12/x
  3. Step 3: Cross multiply
    6,191.92x = 9,297.60 × 4,899.12
  4. Step 4: Simplify right side
    6,191.92x = 45,550,058.11
  5. Step 5: Solve for x
    x = 45,550,058.11/6,191.92
  6. Step 6: Final answer
    x = 7,356.37

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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.