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Finding the Fourth Proportional to 9,354.82, 14,031.09 and 5,845.14

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Solution

The fourth proportional to 9,354.82, 14,031.09 and 5,845.14 is: 8,766.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.82 : 14,031.09 = 5,845.14 : x
  2. Step 2: Convert to fraction form
    9,354.82/14,031.09 = 5,845.14/x
  3. Step 3: Cross multiply
    9,354.82x = 14,031.09 × 5,845.14
  4. Step 4: Simplify right side
    9,354.82x = 82,013,621.28
  5. Step 5: Solve for x
    x = 82,013,621.28/9,354.82
  6. Step 6: Final answer
    x = 8,766.99

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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.