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Finding the Fourth Proportional to 6,914.45, 9,534.39 and 4,672.43

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Solution

The fourth proportional to 6,914.45, 9,534.39 and 4,672.43 is: 6,442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.45 : 9,534.39 = 4,672.43 : x
  2. Step 2: Convert to fraction form
    6,914.45/9,534.39 = 4,672.43/x
  3. Step 3: Cross multiply
    6,914.45x = 9,534.39 × 4,672.43
  4. Step 4: Simplify right side
    6,914.45x = 44,548,722.20
  5. Step 5: Solve for x
    x = 44,548,722.20/6,914.45
  6. Step 6: Final answer
    x = 6,442.85

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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.