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Finding the Fourth Proportional to 6,483.42, 9,727.19 and 2,323.33

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Solution

The fourth proportional to 6,483.42, 9,727.19 and 2,323.33 is: 3,485.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.42 : 9,727.19 = 2,323.33 : x
  2. Step 2: Convert to fraction form
    6,483.42/9,727.19 = 2,323.33/x
  3. Step 3: Cross multiply
    6,483.42x = 9,727.19 × 2,323.33
  4. Step 4: Simplify right side
    6,483.42x = 22,599,472.34
  5. Step 5: Solve for x
    x = 22,599,472.34/6,483.42
  6. Step 6: Final answer
    x = 3,485.73

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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.