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Finding the Fourth Proportional to 6,845.94, 9,448.56 and 3,862.62

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Solution

The fourth proportional to 6,845.94, 9,448.56 and 3,862.62 is: 5,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.94 : 9,448.56 = 3,862.62 : x
  2. Step 2: Convert to fraction form
    6,845.94/9,448.56 = 3,862.62/x
  3. Step 3: Cross multiply
    6,845.94x = 9,448.56 × 3,862.62
  4. Step 4: Simplify right side
    6,845.94x = 36,496,196.83
  5. Step 5: Solve for x
    x = 36,496,196.83/6,845.94
  6. Step 6: Final answer
    x = 5,331.07

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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.