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Finding the Fourth Proportional to 10,221.70, 14,100.17 and 6,438.36

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Solution

The fourth proportional to 10,221.70, 14,100.17 and 6,438.36 is: 8,881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.70 : 14,100.17 = 6,438.36 : x
  2. Step 2: Convert to fraction form
    10,221.70/14,100.17 = 6,438.36/x
  3. Step 3: Cross multiply
    10,221.70x = 14,100.17 × 6,438.36
  4. Step 4: Simplify right side
    10,221.70x = 90,781,970.52
  5. Step 5: Solve for x
    x = 90,781,970.52/10,221.70
  6. Step 6: Final answer
    x = 8,881.30

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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.