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Finding the Fourth Proportional to 10,194.89, 14,059.74 and 6,606.20

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Solution

The fourth proportional to 10,194.89, 14,059.74 and 6,606.20 is: 9,110.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.89 : 14,059.74 = 6,606.20 : x
  2. Step 2: Convert to fraction form
    10,194.89/14,059.74 = 6,606.20/x
  3. Step 3: Cross multiply
    10,194.89x = 14,059.74 × 6,606.20
  4. Step 4: Simplify right side
    10,194.89x = 92,881,454.39
  5. Step 5: Solve for x
    x = 92,881,454.39/10,194.89
  6. Step 6: Final answer
    x = 9,110.59

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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.