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Finding the Fourth Proportional to 10,083.42, 15,093.90 and 9,222.28

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Solution

The fourth proportional to 10,083.42, 15,093.90 and 9,222.28 is: 13,804.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.42 : 15,093.90 = 9,222.28 : x
  2. Step 2: Convert to fraction form
    10,083.42/15,093.90 = 9,222.28/x
  3. Step 3: Cross multiply
    10,083.42x = 15,093.90 × 9,222.28
  4. Step 4: Simplify right side
    10,083.42x = 139,200,134.36
  5. Step 5: Solve for x
    x = 139,200,134.36/10,083.42
  6. Step 6: Final answer
    x = 13,804.85

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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.