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Finding the Fourth Proportional to 11,406.72, 15,728.27 and 9,276.42

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Solution

The fourth proportional to 11,406.72, 15,728.27 and 9,276.42 is: 12,790.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.72 : 15,728.27 = 9,276.42 : x
  2. Step 2: Convert to fraction form
    11,406.72/15,728.27 = 9,276.42/x
  3. Step 3: Cross multiply
    11,406.72x = 15,728.27 × 9,276.42
  4. Step 4: Simplify right side
    11,406.72x = 145,901,992.01
  5. Step 5: Solve for x
    x = 145,901,992.01/11,406.72
  6. Step 6: Final answer
    x = 12,790.88

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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.