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Finding the Fourth Proportional to 9,269.04, 12,797.28 and 5,736

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Solution

The fourth proportional to 9,269.04, 12,797.28 and 5,736 is: 7,919.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.04 : 12,797.28 = 5,736 : x
  2. Step 2: Convert to fraction form
    9,269.04/12,797.28 = 5,736/x
  3. Step 3: Cross multiply
    9,269.04x = 12,797.28 × 5,736
  4. Step 4: Simplify right side
    9,269.04x = 73,405,198.08
  5. Step 5: Solve for x
    x = 73,405,198.08/9,269.04
  6. Step 6: Final answer
    x = 7,919.40

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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.