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Finding the Fourth Proportional to 10,291.39, 14,194.76 and 6,699.73

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Solution

The fourth proportional to 10,291.39, 14,194.76 and 6,699.73 is: 9,240.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.39 : 14,194.76 = 6,699.73 : x
  2. Step 2: Convert to fraction form
    10,291.39/14,194.76 = 6,699.73/x
  3. Step 3: Cross multiply
    10,291.39x = 14,194.76 × 6,699.73
  4. Step 4: Simplify right side
    10,291.39x = 95,101,059.41
  5. Step 5: Solve for x
    x = 95,101,059.41/10,291.39
  6. Step 6: Final answer
    x = 9,240.84

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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.