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Finding the Fourth Proportional to 9,844.74, 13,586.94 and 6,211.08

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Solution

The fourth proportional to 9,844.74, 13,586.94 and 6,211.08 is: 8,572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.74 : 13,586.94 = 6,211.08 : x
  2. Step 2: Convert to fraction form
    9,844.74/13,586.94 = 6,211.08/x
  3. Step 3: Cross multiply
    9,844.74x = 13,586.94 × 6,211.08
  4. Step 4: Simplify right side
    9,844.74x = 84,389,571.30
  5. Step 5: Solve for x
    x = 84,389,571.30/9,844.74
  6. Step 6: Final answer
    x = 8,572.05

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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.