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Finding the Fourth Proportional to 10,009.17, 13,811.82 and 6,226.57

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Solution

The fourth proportional to 10,009.17, 13,811.82 and 6,226.57 is: 8,592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.17 : 13,811.82 = 6,226.57 : x
  2. Step 2: Convert to fraction form
    10,009.17/13,811.82 = 6,226.57/x
  3. Step 3: Cross multiply
    10,009.17x = 13,811.82 × 6,226.57
  4. Step 4: Simplify right side
    10,009.17x = 86,000,257.97
  5. Step 5: Solve for x
    x = 86,000,257.97/10,009.17
  6. Step 6: Final answer
    x = 8,592.15

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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.