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Finding the Fourth Proportional to 11,037.72, 15,217.43 and 9,142.32

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Solution

The fourth proportional to 11,037.72, 15,217.43 and 9,142.32 is: 12,604.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,037.72 : 15,217.43 = 9,142.32 : x
  2. Step 2: Convert to fraction form
    11,037.72/15,217.43 = 9,142.32/x
  3. Step 3: Cross multiply
    11,037.72x = 15,217.43 × 9,142.32
  4. Step 4: Simplify right side
    11,037.72x = 139,122,568.93
  5. Step 5: Solve for x
    x = 139,122,568.93/11,037.72
  6. Step 6: Final answer
    x = 12,604.29

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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.