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Finding the Fourth Proportional to 9,351.44, 12,905 and 5,372.80

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Solution

The fourth proportional to 9,351.44, 12,905 and 5,372.80 is: 7,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.44 : 12,905 = 5,372.80 : x
  2. Step 2: Convert to fraction form
    9,351.44/12,905 = 5,372.80/x
  3. Step 3: Cross multiply
    9,351.44x = 12,905 × 5,372.80
  4. Step 4: Simplify right side
    9,351.44x = 69,335,984
  5. Step 5: Solve for x
    x = 69,335,984/9,351.44
  6. Step 6: Final answer
    x = 7,414.47

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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.