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Finding the Fourth Proportional to 6,234.10, 9,355.19 and 3,314.45

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Solution

The fourth proportional to 6,234.10, 9,355.19 and 3,314.45 is: 4,973.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.10 : 9,355.19 = 3,314.45 : x
  2. Step 2: Convert to fraction form
    6,234.10/9,355.19 = 3,314.45/x
  3. Step 3: Cross multiply
    6,234.10x = 9,355.19 × 3,314.45
  4. Step 4: Simplify right side
    6,234.10x = 31,007,309.50
  5. Step 5: Solve for x
    x = 31,007,309.50/6,234.10
  6. Step 6: Final answer
    x = 4,973.82

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Why These Related Problems?

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