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Finding the Fourth Proportional to 10,094.08, 13,917.74 and 6,556

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Solution

The fourth proportional to 10,094.08, 13,917.74 and 6,556 is: 9,039.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.08 : 13,917.74 = 6,556 : x
  2. Step 2: Convert to fraction form
    10,094.08/13,917.74 = 6,556/x
  3. Step 3: Cross multiply
    10,094.08x = 13,917.74 × 6,556
  4. Step 4: Simplify right side
    10,094.08x = 91,244,703.44
  5. Step 5: Solve for x
    x = 91,244,703.44/10,094.08
  6. Step 6: Final answer
    x = 9,039.43

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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.