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Finding the Fourth Proportional to 9,250.67, 12,851.51 and 9,164.21

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Solution

The fourth proportional to 9,250.67, 12,851.51 and 9,164.21 is: 12,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.67 : 12,851.51 = 9,164.21 : x
  2. Step 2: Convert to fraction form
    9,250.67/12,851.51 = 9,164.21/x
  3. Step 3: Cross multiply
    9,250.67x = 12,851.51 × 9,164.21
  4. Step 4: Simplify right side
    9,250.67x = 117,773,826.38
  5. Step 5: Solve for x
    x = 117,773,826.38/9,250.67
  6. Step 6: Final answer
    x = 12,731.38

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Why These Related Problems?

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