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Finding the Fourth Proportional to 10,194.35, 14,064.14 and 6,208.54

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Solution

The fourth proportional to 10,194.35, 14,064.14 and 6,208.54 is: 8,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.35 : 14,064.14 = 6,208.54 : x
  2. Step 2: Convert to fraction form
    10,194.35/14,064.14 = 6,208.54/x
  3. Step 3: Cross multiply
    10,194.35x = 14,064.14 × 6,208.54
  4. Step 4: Simplify right side
    10,194.35x = 87,317,756.12
  5. Step 5: Solve for x
    x = 87,317,756.12/10,194.35
  6. Step 6: Final answer
    x = 8,565.31

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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.