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Finding the Fourth Proportional to 6,942.72, 10,455.24 and 6,257.28

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Solution

The fourth proportional to 6,942.72, 10,455.24 and 6,257.28 is: 9,423.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.72 : 10,455.24 = 6,257.28 : x
  2. Step 2: Convert to fraction form
    6,942.72/10,455.24 = 6,257.28/x
  3. Step 3: Cross multiply
    6,942.72x = 10,455.24 × 6,257.28
  4. Step 4: Simplify right side
    6,942.72x = 65,421,364.15
  5. Step 5: Solve for x
    x = 65,421,364.15/6,942.72
  6. Step 6: Final answer
    x = 9,423.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.