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Finding the Fourth Proportional to 6,460.79, 8,914.23 and 3,942.72

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Solution

The fourth proportional to 6,460.79, 8,914.23 and 3,942.72 is: 5,439.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.79 : 8,914.23 = 3,942.72 : x
  2. Step 2: Convert to fraction form
    6,460.79/8,914.23 = 3,942.72/x
  3. Step 3: Cross multiply
    6,460.79x = 8,914.23 × 3,942.72
  4. Step 4: Simplify right side
    6,460.79x = 35,146,312.91
  5. Step 5: Solve for x
    x = 35,146,312.91/6,460.79
  6. Step 6: Final answer
    x = 5,439.94

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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.