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Finding the Fourth Proportional to 10,085.82, 13,982.22 and 9,552.63

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Solution

The fourth proportional to 10,085.82, 13,982.22 and 9,552.63 is: 13,243.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.82 : 13,982.22 = 9,552.63 : x
  2. Step 2: Convert to fraction form
    10,085.82/13,982.22 = 9,552.63/x
  3. Step 3: Cross multiply
    10,085.82x = 13,982.22 × 9,552.63
  4. Step 4: Simplify right side
    10,085.82x = 133,567,026.67
  5. Step 5: Solve for x
    x = 133,567,026.67/10,085.82
  6. Step 6: Final answer
    x = 13,243.06

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.