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Finding the Fourth Proportional to 6,758.26, 9,305.75 and 6,124.66

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Solution

The fourth proportional to 6,758.26, 9,305.75 and 6,124.66 is: 8,433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.26 : 9,305.75 = 6,124.66 : x
  2. Step 2: Convert to fraction form
    6,758.26/9,305.75 = 6,124.66/x
  3. Step 3: Cross multiply
    6,758.26x = 9,305.75 × 6,124.66
  4. Step 4: Simplify right side
    6,758.26x = 56,994,554.80
  5. Step 5: Solve for x
    x = 56,994,554.80/6,758.26
  6. Step 6: Final answer
    x = 8,433.32

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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.