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Finding the Fourth Proportional to 6,322.96, 9,480.60 and 3,243.28

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Solution

The fourth proportional to 6,322.96, 9,480.60 and 3,243.28 is: 4,862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.96 : 9,480.60 = 3,243.28 : x
  2. Step 2: Convert to fraction form
    6,322.96/9,480.60 = 3,243.28/x
  3. Step 3: Cross multiply
    6,322.96x = 9,480.60 × 3,243.28
  4. Step 4: Simplify right side
    6,322.96x = 30,748,240.37
  5. Step 5: Solve for x
    x = 30,748,240.37/6,322.96
  6. Step 6: Final answer
    x = 4,862.95

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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.