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Finding the Fourth Proportional to 6,845.85, 9,448.11 and 3,862.76

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Solution

The fourth proportional to 6,845.85, 9,448.11 and 3,862.76 is: 5,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.85 : 9,448.11 = 3,862.76 : x
  2. Step 2: Convert to fraction form
    6,845.85/9,448.11 = 3,862.76/x
  3. Step 3: Cross multiply
    6,845.85x = 9,448.11 × 3,862.76
  4. Step 4: Simplify right side
    6,845.85x = 36,495,734.14
  5. Step 5: Solve for x
    x = 36,495,734.14/6,845.85
  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.