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Finding the Fourth Proportional to 9,264.56, 12,784.44 and 5,727.92

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Solution

The fourth proportional to 9,264.56, 12,784.44 and 5,727.92 is: 7,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.56 : 12,784.44 = 5,727.92 : x
  2. Step 2: Convert to fraction form
    9,264.56/12,784.44 = 5,727.92/x
  3. Step 3: Cross multiply
    9,264.56x = 12,784.44 × 5,727.92
  4. Step 4: Simplify right side
    9,264.56x = 73,228,249.56
  5. Step 5: Solve for x
    x = 73,228,249.56/9,264.56
  6. Step 6: Final answer
    x = 7,904.13

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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.