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Finding the Fourth Proportional to 9,294.72, 12,851.94 and 9,144.49

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Solution

The fourth proportional to 9,294.72, 12,851.94 and 9,144.49 is: 12,644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.72 : 12,851.94 = 9,144.49 : x
  2. Step 2: Convert to fraction form
    9,294.72/12,851.94 = 9,144.49/x
  3. Step 3: Cross multiply
    9,294.72x = 12,851.94 × 9,144.49
  4. Step 4: Simplify right side
    9,294.72x = 117,524,411.63
  5. Step 5: Solve for x
    x = 117,524,411.63/9,294.72
  6. Step 6: Final answer
    x = 12,644.22

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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.