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Finding the Fourth Proportional to 6,776.97, 9,347.75 and 4,885.41

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Solution

The fourth proportional to 6,776.97, 9,347.75 and 4,885.41 is: 6,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.97 : 9,347.75 = 4,885.41 : x
  2. Step 2: Convert to fraction form
    6,776.97/9,347.75 = 4,885.41/x
  3. Step 3: Cross multiply
    6,776.97x = 9,347.75 × 4,885.41
  4. Step 4: Simplify right side
    6,776.97x = 45,667,647.76
  5. Step 5: Solve for x
    x = 45,667,647.76/6,776.97
  6. Step 6: Final answer
    x = 6,738.66

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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.