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Finding the Fourth Proportional to 7,151.10, 9,868.30 and 3,964.31

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Solution

The fourth proportional to 7,151.10, 9,868.30 and 3,964.31 is: 5,470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.10 : 9,868.30 = 3,964.31 : x
  2. Step 2: Convert to fraction form
    7,151.10/9,868.30 = 3,964.31/x
  3. Step 3: Cross multiply
    7,151.10x = 9,868.30 × 3,964.31
  4. Step 4: Simplify right side
    7,151.10x = 39,121,000.37
  5. Step 5: Solve for x
    x = 39,121,000.37/7,151.10
  6. Step 6: Final answer
    x = 5,470.63

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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.