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Finding the Fourth Proportional to 10,194.38, 14,055.09 and 6,837.74

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Solution

The fourth proportional to 10,194.38, 14,055.09 and 6,837.74 is: 9,427.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.38 : 14,055.09 = 6,837.74 : x
  2. Step 2: Convert to fraction form
    10,194.38/14,055.09 = 6,837.74/x
  3. Step 3: Cross multiply
    10,194.38x = 14,055.09 × 6,837.74
  4. Step 4: Simplify right side
    10,194.38x = 96,105,051.10
  5. Step 5: Solve for x
    x = 96,105,051.10/10,194.38
  6. Step 6: Final answer
    x = 9,427.26

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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.