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Finding the Fourth Proportional to 9,336.10, 12,861.26 and 7,844.08

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Solution

The fourth proportional to 9,336.10, 12,861.26 and 7,844.08 is: 10,805.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336.10 : 12,861.26 = 7,844.08 : x
  2. Step 2: Convert to fraction form
    9,336.10/12,861.26 = 7,844.08/x
  3. Step 3: Cross multiply
    9,336.10x = 12,861.26 × 7,844.08
  4. Step 4: Simplify right side
    9,336.10x = 100,884,752.34
  5. Step 5: Solve for x
    x = 100,884,752.34/9,336.10
  6. Step 6: Final answer
    x = 10,805.88

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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.