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Finding the Fourth Proportional to 9,238.78, 12,749.16 and 5,047.06

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Solution

The fourth proportional to 9,238.78, 12,749.16 and 5,047.06 is: 6,964.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.78 : 12,749.16 = 5,047.06 : x
  2. Step 2: Convert to fraction form
    9,238.78/12,749.16 = 5,047.06/x
  3. Step 3: Cross multiply
    9,238.78x = 12,749.16 × 5,047.06
  4. Step 4: Simplify right side
    9,238.78x = 64,345,775.47
  5. Step 5: Solve for x
    x = 64,345,775.47/9,238.78
  6. Step 6: Final answer
    x = 6,964.75

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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.