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Finding the Fourth Proportional to 6,377.43, 9,519.34 and 5,907.75

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Solution

The fourth proportional to 6,377.43, 9,519.34 and 5,907.75 is: 8,818.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.43 : 9,519.34 = 5,907.75 : x
  2. Step 2: Convert to fraction form
    6,377.43/9,519.34 = 5,907.75/x
  3. Step 3: Cross multiply
    6,377.43x = 9,519.34 × 5,907.75
  4. Step 4: Simplify right side
    6,377.43x = 56,237,895.04
  5. Step 5: Solve for x
    x = 56,237,895.04/6,377.43
  6. Step 6: Final answer
    x = 8,818.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.