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Finding the Fourth Proportional to 11,405.22, 15,726.20 and 9,274.92

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Solution

The fourth proportional to 11,405.22, 15,726.20 and 9,274.92 is: 12,788.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.22 : 15,726.20 = 9,274.92 : x
  2. Step 2: Convert to fraction form
    11,405.22/15,726.20 = 9,274.92/x
  3. Step 3: Cross multiply
    11,405.22x = 15,726.20 × 9,274.92
  4. Step 4: Simplify right side
    11,405.22x = 145,859,200.53
  5. Step 5: Solve for x
    x = 145,859,200.53/11,405.22
  6. Step 6: Final answer
    x = 12,788.81

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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.