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Finding the Fourth Proportional to 6,677.30, 9,214.43 and 3,845.10

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Solution

The fourth proportional to 6,677.30, 9,214.43 and 3,845.10 is: 5,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.30 : 9,214.43 = 3,845.10 : x
  2. Step 2: Convert to fraction form
    6,677.30/9,214.43 = 3,845.10/x
  3. Step 3: Cross multiply
    6,677.30x = 9,214.43 × 3,845.10
  4. Step 4: Simplify right side
    6,677.30x = 35,430,420.12
  5. Step 5: Solve for x
    x = 35,430,420.12/6,677.30
  6. Step 6: Final answer
    x = 5,306.10

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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.