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Finding the Fourth Proportional to 6,830.61, 9,427.14 and 3,847.03

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Solution

The fourth proportional to 6,830.61, 9,427.14 and 3,847.03 is: 5,309.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.61 : 9,427.14 = 3,847.03 : x
  2. Step 2: Convert to fraction form
    6,830.61/9,427.14 = 3,847.03/x
  3. Step 3: Cross multiply
    6,830.61x = 9,427.14 × 3,847.03
  4. Step 4: Simplify right side
    6,830.61x = 36,266,424.02
  5. Step 5: Solve for x
    x = 36,266,424.02/6,830.61
  6. Step 6: Final answer
    x = 5,309.40

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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.