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Finding the Fourth Proportional to 6,776.88, 9,350.75 and 3,792.13

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Solution

The fourth proportional to 6,776.88, 9,350.75 and 3,792.13 is: 5,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.88 : 9,350.75 = 3,792.13 : x
  2. Step 2: Convert to fraction form
    6,776.88/9,350.75 = 3,792.13/x
  3. Step 3: Cross multiply
    6,776.88x = 9,350.75 × 3,792.13
  4. Step 4: Simplify right side
    6,776.88x = 35,459,240.64
  5. Step 5: Solve for x
    x = 35,459,240.64/6,776.88
  6. Step 6: Final answer
    x = 5,232.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.