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Finding the Fourth Proportional to 6,456.07, 9,685.14 and 3,169.45

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Solution

The fourth proportional to 6,456.07, 9,685.14 and 3,169.45 is: 4,754.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.07 : 9,685.14 = 3,169.45 : x
  2. Step 2: Convert to fraction form
    6,456.07/9,685.14 = 3,169.45/x
  3. Step 3: Cross multiply
    6,456.07x = 9,685.14 × 3,169.45
  4. Step 4: Simplify right side
    6,456.07x = 30,696,566.97
  5. Step 5: Solve for x
    x = 30,696,566.97/6,456.07
  6. Step 6: Final answer
    x = 4,754.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.