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Finding the Fourth Proportional to 9,243.77, 12,741.39 and 7,223.63

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Solution

The fourth proportional to 9,243.77, 12,741.39 and 7,223.63 is: 9,956.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.77 : 12,741.39 = 7,223.63 : x
  2. Step 2: Convert to fraction form
    9,243.77/12,741.39 = 7,223.63/x
  3. Step 3: Cross multiply
    9,243.77x = 12,741.39 × 7,223.63
  4. Step 4: Simplify right side
    9,243.77x = 92,039,023.34
  5. Step 5: Solve for x
    x = 92,039,023.34/9,243.77
  6. Step 6: Final answer
    x = 9,956.88

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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.