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Finding the Fourth Proportional to 9,273.48, 12,787.22 and 7,144.38

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Solution

The fourth proportional to 9,273.48, 12,787.22 and 7,144.38 is: 9,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,273.48 : 12,787.22 = 7,144.38 : x
  2. Step 2: Convert to fraction form
    9,273.48/12,787.22 = 7,144.38/x
  3. Step 3: Cross multiply
    9,273.48x = 12,787.22 × 7,144.38
  4. Step 4: Simplify right side
    9,273.48x = 91,356,758.82
  5. Step 5: Solve for x
    x = 91,356,758.82/9,273.48
  6. Step 6: Final answer
    x = 9,851.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.