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Finding the Fourth Proportional to 6,071.34, 9,103.87 and 3,109.30

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Solution

The fourth proportional to 6,071.34, 9,103.87 and 3,109.30 is: 4,662.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.34 : 9,103.87 = 3,109.30 : x
  2. Step 2: Convert to fraction form
    6,071.34/9,103.87 = 3,109.30/x
  3. Step 3: Cross multiply
    6,071.34x = 9,103.87 × 3,109.30
  4. Step 4: Simplify right side
    6,071.34x = 28,306,662.99
  5. Step 5: Solve for x
    x = 28,306,662.99/6,071.34
  6. Step 6: Final answer
    x = 4,662.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.