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Finding the Fourth Proportional to 9,892.11, 13,657.48 and 8,828.05

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Solution

The fourth proportional to 9,892.11, 13,657.48 and 8,828.05 is: 12,188.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.11 : 13,657.48 = 8,828.05 : x
  2. Step 2: Convert to fraction form
    9,892.11/13,657.48 = 8,828.05/x
  3. Step 3: Cross multiply
    9,892.11x = 13,657.48 × 8,828.05
  4. Step 4: Simplify right side
    9,892.11x = 120,568,916.31
  5. Step 5: Solve for x
    x = 120,568,916.31/9,892.11
  6. Step 6: Final answer
    x = 12,188.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.