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Finding the Fourth Proportional to 6,484.06, 9,721.05 and 2,783.26

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Solution

The fourth proportional to 6,484.06, 9,721.05 and 2,783.26 is: 4,172.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.06 : 9,721.05 = 2,783.26 : x
  2. Step 2: Convert to fraction form
    6,484.06/9,721.05 = 2,783.26/x
  3. Step 3: Cross multiply
    6,484.06x = 9,721.05 × 2,783.26
  4. Step 4: Simplify right side
    6,484.06x = 27,056,209.62
  5. Step 5: Solve for x
    x = 27,056,209.62/6,484.06
  6. Step 6: Final answer
    x = 4,172.73

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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.