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Finding the Fourth Proportional to 6,382.96, 9,571.51 and 3,420.93

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Solution

The fourth proportional to 6,382.96, 9,571.51 and 3,420.93 is: 5,129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.96 : 9,571.51 = 3,420.93 : x
  2. Step 2: Convert to fraction form
    6,382.96/9,571.51 = 3,420.93/x
  3. Step 3: Cross multiply
    6,382.96x = 9,571.51 × 3,420.93
  4. Step 4: Simplify right side
    6,382.96x = 32,743,465.70
  5. Step 5: Solve for x
    x = 32,743,465.70/6,382.96
  6. Step 6: Final answer
    x = 5,129.82

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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.