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Finding the Fourth Proportional to 9,278.40, 13,916.64 and 8,736.96

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Solution

The fourth proportional to 9,278.40, 13,916.64 and 8,736.96 is: 13,104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.40 : 13,916.64 = 8,736.96 : x
  2. Step 2: Convert to fraction form
    9,278.40/13,916.64 = 8,736.96/x
  3. Step 3: Cross multiply
    9,278.40x = 13,916.64 × 8,736.96
  4. Step 4: Simplify right side
    9,278.40x = 121,589,127.01
  5. Step 5: Solve for x
    x = 121,589,127.01/9,278.40
  6. Step 6: Final answer
    x = 13,104.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.