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Finding the Fourth Proportional to 6,314.78, 9,472.23 and 4,137.35

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Solution

The fourth proportional to 6,314.78, 9,472.23 and 4,137.35 is: 6,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.78 : 9,472.23 = 4,137.35 : x
  2. Step 2: Convert to fraction form
    6,314.78/9,472.23 = 4,137.35/x
  3. Step 3: Cross multiply
    6,314.78x = 9,472.23 × 4,137.35
  4. Step 4: Simplify right side
    6,314.78x = 39,189,930.79
  5. Step 5: Solve for x
    x = 39,189,930.79/6,314.78
  6. Step 6: Final answer
    x = 6,206.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.