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Finding the Fourth Proportional to 6,477.72, 8,938.94 and 3,964.02

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Solution

The fourth proportional to 6,477.72, 8,938.94 and 3,964.02 is: 5,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.72 : 8,938.94 = 3,964.02 : x
  2. Step 2: Convert to fraction form
    6,477.72/8,938.94 = 3,964.02/x
  3. Step 3: Cross multiply
    6,477.72x = 8,938.94 × 3,964.02
  4. Step 4: Simplify right side
    6,477.72x = 35,434,136.94
  5. Step 5: Solve for x
    x = 35,434,136.94/6,477.72
  6. Step 6: Final answer
    x = 5,470.16

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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.