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Finding the Fourth Proportional to 10,201.69, 14,074.79 and 6,425.17

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Solution

The fourth proportional to 10,201.69, 14,074.79 and 6,425.17 is: 8,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.69 : 14,074.79 = 6,425.17 : x
  2. Step 2: Convert to fraction form
    10,201.69/14,074.79 = 6,425.17/x
  3. Step 3: Cross multiply
    10,201.69x = 14,074.79 × 6,425.17
  4. Step 4: Simplify right side
    10,201.69x = 90,432,851.15
  5. Step 5: Solve for x
    x = 90,432,851.15/10,201.69
  6. Step 6: Final answer
    x = 8,864.50

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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.