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Finding the Fourth Proportional to 9,852.72, 14,781.81 and 5,473.26

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Solution

The fourth proportional to 9,852.72, 14,781.81 and 5,473.26 is: 8,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.72 : 14,781.81 = 5,473.26 : x
  2. Step 2: Convert to fraction form
    9,852.72/14,781.81 = 5,473.26/x
  3. Step 3: Cross multiply
    9,852.72x = 14,781.81 × 5,473.26
  4. Step 4: Simplify right side
    9,852.72x = 80,904,689.40
  5. Step 5: Solve for x
    x = 80,904,689.40/9,852.72
  6. Step 6: Final answer
    x = 8,211.41

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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.