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Finding the Fourth Proportional to 6,801.17, 9,385.49 and 3,816.77

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Solution

The fourth proportional to 6,801.17, 9,385.49 and 3,816.77 is: 5,267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.17 : 9,385.49 = 3,816.77 : x
  2. Step 2: Convert to fraction form
    6,801.17/9,385.49 = 3,816.77/x
  3. Step 3: Cross multiply
    6,801.17x = 9,385.49 × 3,816.77
  4. Step 4: Simplify right side
    6,801.17x = 35,822,256.67
  5. Step 5: Solve for x
    x = 35,822,256.67/6,801.17
  6. Step 6: Final answer
    x = 5,267.07

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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.