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Finding the Fourth Proportional to 10,201.34, 14,078.22 and 6,219.66

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Solution

The fourth proportional to 10,201.34, 14,078.22 and 6,219.66 is: 8,583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.34 : 14,078.22 = 6,219.66 : x
  2. Step 2: Convert to fraction form
    10,201.34/14,078.22 = 6,219.66/x
  3. Step 3: Cross multiply
    10,201.34x = 14,078.22 × 6,219.66
  4. Step 4: Simplify right side
    10,201.34x = 87,561,741.81
  5. Step 5: Solve for x
    x = 87,561,741.81/10,201.34
  6. Step 6: Final answer
    x = 8,583.36

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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.