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Finding the Fourth Proportional to 9,253.36, 12,769.60 and 5,274.64

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Solution

The fourth proportional to 9,253.36, 12,769.60 and 5,274.64 is: 7,278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.36 : 12,769.60 = 5,274.64 : x
  2. Step 2: Convert to fraction form
    9,253.36/12,769.60 = 5,274.64/x
  3. Step 3: Cross multiply
    9,253.36x = 12,769.60 × 5,274.64
  4. Step 4: Simplify right side
    9,253.36x = 67,355,042.94
  5. Step 5: Solve for x
    x = 67,355,042.94/9,253.36
  6. Step 6: Final answer
    x = 7,278.98

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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.