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Finding the Fourth Proportional to 9,356.96, 12,912.36 and 5,165.12

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Solution

The fourth proportional to 9,356.96, 12,912.36 and 5,165.12 is: 7,127.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.96 : 12,912.36 = 5,165.12 : x
  2. Step 2: Convert to fraction form
    9,356.96/12,912.36 = 5,165.12/x
  3. Step 3: Cross multiply
    9,356.96x = 12,912.36 × 5,165.12
  4. Step 4: Simplify right side
    9,356.96x = 66,693,888.88
  5. Step 5: Solve for x
    x = 66,693,888.88/9,356.96
  6. Step 6: Final answer
    x = 7,127.73

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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.