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Finding the Fourth Proportional to 6,483.73, 9,727.32 and 2,324.15

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Solution

The fourth proportional to 6,483.73, 9,727.32 and 2,324.15 is: 3,486.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.73 : 9,727.32 = 2,324.15 : x
  2. Step 2: Convert to fraction form
    6,483.73/9,727.32 = 2,324.15/x
  3. Step 3: Cross multiply
    6,483.73x = 9,727.32 × 2,324.15
  4. Step 4: Simplify right side
    6,483.73x = 22,607,739.16
  5. Step 5: Solve for x
    x = 22,607,739.16/6,483.73
  6. Step 6: Final answer
    x = 3,486.84

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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.