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Finding the Fourth Proportional to 9,852.85, 14,755.78 and 5,684.14

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Solution

The fourth proportional to 9,852.85, 14,755.78 and 5,684.14 is: 8,512.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.85 : 14,755.78 = 5,684.14 : x
  2. Step 2: Convert to fraction form
    9,852.85/14,755.78 = 5,684.14/x
  3. Step 3: Cross multiply
    9,852.85x = 14,755.78 × 5,684.14
  4. Step 4: Simplify right side
    9,852.85x = 83,873,919.33
  5. Step 5: Solve for x
    x = 83,873,919.33/9,852.85
  6. Step 6: Final answer
    x = 8,512.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.