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Finding the Fourth Proportional to 9,238.75, 12,749.54 and 5,047

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Solution

The fourth proportional to 9,238.75, 12,749.54 and 5,047 is: 6,964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.75 : 12,749.54 = 5,047 : x
  2. Step 2: Convert to fraction form
    9,238.75/12,749.54 = 5,047/x
  3. Step 3: Cross multiply
    9,238.75x = 12,749.54 × 5,047
  4. Step 4: Simplify right side
    9,238.75x = 64,346,928.38
  5. Step 5: Solve for x
    x = 64,346,928.38/9,238.75
  6. Step 6: Final answer
    x = 6,964.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.