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Finding the Fourth Proportional to 6,379.98, 9,569.88 and 3,093.36

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Solution

The fourth proportional to 6,379.98, 9,569.88 and 3,093.36 is: 4,640.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.98 : 9,569.88 = 3,093.36 : x
  2. Step 2: Convert to fraction form
    6,379.98/9,569.88 = 3,093.36/x
  3. Step 3: Cross multiply
    6,379.98x = 9,569.88 × 3,093.36
  4. Step 4: Simplify right side
    6,379.98x = 29,603,084.00
  5. Step 5: Solve for x
    x = 29,603,084.00/6,379.98
  6. Step 6: Final answer
    x = 4,640.00

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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.