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Finding the Fourth Proportional to 9,238.81, 12,749.60 and 5,047.06

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Solution

The fourth proportional to 9,238.81, 12,749.60 and 5,047.06 is: 6,964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.81 : 12,749.60 = 5,047.06 : x
  2. Step 2: Convert to fraction form
    9,238.81/12,749.60 = 5,047.06/x
  3. Step 3: Cross multiply
    9,238.81x = 12,749.60 × 5,047.06
  4. Step 4: Simplify right side
    9,238.81x = 64,347,996.18
  5. Step 5: Solve for x
    x = 64,347,996.18/9,238.81
  6. Step 6: Final answer
    x = 6,964.97

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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.