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Finding the Fourth Proportional to 9,274.24, 12,810.72 and 6,912.28

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Solution

The fourth proportional to 9,274.24, 12,810.72 and 6,912.28 is: 9,548.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.24 : 12,810.72 = 6,912.28 : x
  2. Step 2: Convert to fraction form
    9,274.24/12,810.72 = 6,912.28/x
  3. Step 3: Cross multiply
    9,274.24x = 12,810.72 × 6,912.28
  4. Step 4: Simplify right side
    9,274.24x = 88,551,283.64
  5. Step 5: Solve for x
    x = 88,551,283.64/9,274.24
  6. Step 6: Final answer
    x = 9,548.09

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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.