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Finding the Fourth Proportional to 6,219.36, 9,319.26 and 5,688.54

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Solution

The fourth proportional to 6,219.36, 9,319.26 and 5,688.54 is: 8,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,219.36 : 9,319.26 = 5,688.54 : x
  2. Step 2: Convert to fraction form
    6,219.36/9,319.26 = 5,688.54/x
  3. Step 3: Cross multiply
    6,219.36x = 9,319.26 × 5,688.54
  4. Step 4: Simplify right side
    6,219.36x = 53,012,983.28
  5. Step 5: Solve for x
    x = 53,012,983.28/6,219.36
  6. Step 6: Final answer
    x = 8,523.86

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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.