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Finding the Fourth Proportional to 10,095.78, 13,940.82 and 9,644.82

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Solution

The fourth proportional to 10,095.78, 13,940.82 and 9,644.82 is: 13,318.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.78 : 13,940.82 = 9,644.82 : x
  2. Step 2: Convert to fraction form
    10,095.78/13,940.82 = 9,644.82/x
  3. Step 3: Cross multiply
    10,095.78x = 13,940.82 × 9,644.82
  4. Step 4: Simplify right side
    10,095.78x = 134,456,699.55
  5. Step 5: Solve for x
    x = 134,456,699.55/10,095.78
  6. Step 6: Final answer
    x = 13,318.11

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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.