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Finding the Fourth Proportional to 6,830.08, 9,424.95 and 3,845.37

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Solution

The fourth proportional to 6,830.08, 9,424.95 and 3,845.37 is: 5,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.08 : 9,424.95 = 3,845.37 : x
  2. Step 2: Convert to fraction form
    6,830.08/9,424.95 = 3,845.37/x
  3. Step 3: Cross multiply
    6,830.08x = 9,424.95 × 3,845.37
  4. Step 4: Simplify right side
    6,830.08x = 36,242,419.98
  5. Step 5: Solve for x
    x = 36,242,419.98/6,830.08
  6. Step 6: Final answer
    x = 5,306.30

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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.