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Finding the Fourth Proportional to 6,367.04, 8,731.72 and 6,101

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Solution

The fourth proportional to 6,367.04, 8,731.72 and 6,101 is: 8,366.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.04 : 8,731.72 = 6,101 : x
  2. Step 2: Convert to fraction form
    6,367.04/8,731.72 = 6,101/x
  3. Step 3: Cross multiply
    6,367.04x = 8,731.72 × 6,101
  4. Step 4: Simplify right side
    6,367.04x = 53,272,223.72
  5. Step 5: Solve for x
    x = 53,272,223.72/6,367.04
  6. Step 6: Final answer
    x = 8,366.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.