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Finding the Fourth Proportional to 6,686.84, 9,223.82 and 4,923

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Solution

The fourth proportional to 6,686.84, 9,223.82 and 4,923 is: 6,790.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.84 : 9,223.82 = 4,923 : x
  2. Step 2: Convert to fraction form
    6,686.84/9,223.82 = 4,923/x
  3. Step 3: Cross multiply
    6,686.84x = 9,223.82 × 4,923
  4. Step 4: Simplify right side
    6,686.84x = 45,408,865.86
  5. Step 5: Solve for x
    x = 45,408,865.86/6,686.84
  6. Step 6: Final answer
    x = 6,790.78

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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.