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Finding the Fourth Proportional to 9,841.92, 14,765.31 and 2,916.42

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Solution

The fourth proportional to 9,841.92, 14,765.31 and 2,916.42 is: 4,375.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.92 : 14,765.31 = 2,916.42 : x
  2. Step 2: Convert to fraction form
    9,841.92/14,765.31 = 2,916.42/x
  3. Step 3: Cross multiply
    9,841.92x = 14,765.31 × 2,916.42
  4. Step 4: Simplify right side
    9,841.92x = 43,061,845.39
  5. Step 5: Solve for x
    x = 43,061,845.39/9,841.92
  6. Step 6: Final answer
    x = 4,375.35

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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.