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Finding the Fourth Proportional to 6,275.92, 9,420 and 2,991.28

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Solution

The fourth proportional to 6,275.92, 9,420 and 2,991.28 is: 4,489.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.92 : 9,420 = 2,991.28 : x
  2. Step 2: Convert to fraction form
    6,275.92/9,420 = 2,991.28/x
  3. Step 3: Cross multiply
    6,275.92x = 9,420 × 2,991.28
  4. Step 4: Simplify right side
    6,275.92x = 28,177,857.60
  5. Step 5: Solve for x
    x = 28,177,857.60/6,275.92
  6. Step 6: Final answer
    x = 4,489.84

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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.