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Finding the Fourth Proportional to 6,896,344.56, 9,516,274.16 and 3,840,843.12

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Solution

The fourth proportional to 6,896,344.56, 9,516,274.16 and 3,840,843.12 is: 5,299,984.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896,344.56 : 9,516,274.16 = 3,840,843.12 : x
  2. Step 2: Convert to fraction form
    6,896,344.56/9,516,274.16 = 3,840,843.12/x
  3. Step 3: Cross multiply
    6,896,344.56x = 9,516,274.16 × 3,840,843.12
  4. Step 4: Simplify right side
    6,896,344.56x = 36,550,516,135,469.78
  5. Step 5: Solve for x
    x = 36,550,516,135,469.78/6,896,344.56
  6. Step 6: Final answer
    x = 5,299,984.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.