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Finding the Fourth Proportional to 10,201.86, 14,065.65 and 6,659.46

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Solution

The fourth proportional to 10,201.86, 14,065.65 and 6,659.46 is: 9,181.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.86 : 14,065.65 = 6,659.46 : x
  2. Step 2: Convert to fraction form
    10,201.86/14,065.65 = 6,659.46/x
  3. Step 3: Cross multiply
    10,201.86x = 14,065.65 × 6,659.46
  4. Step 4: Simplify right side
    10,201.86x = 93,669,633.55
  5. Step 5: Solve for x
    x = 93,669,633.55/10,201.86
  6. Step 6: Final answer
    x = 9,181.62

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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.