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Finding the Fourth Proportional to 6,363.28, 9,543.57 and 4,509.19

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Solution

The fourth proportional to 6,363.28, 9,543.57 and 4,509.19 is: 6,762.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.28 : 9,543.57 = 4,509.19 : x
  2. Step 2: Convert to fraction form
    6,363.28/9,543.57 = 4,509.19/x
  3. Step 3: Cross multiply
    6,363.28x = 9,543.57 × 4,509.19
  4. Step 4: Simplify right side
    6,363.28x = 43,033,770.41
  5. Step 5: Solve for x
    x = 43,033,770.41/6,363.28
  6. Step 6: Final answer
    x = 6,762.83

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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.