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Finding the Fourth Proportional to 6,975.78, 9,631.08 and 4,326

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Solution

The fourth proportional to 6,975.78, 9,631.08 and 4,326 is: 5,972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.78 : 9,631.08 = 4,326 : x
  2. Step 2: Convert to fraction form
    6,975.78/9,631.08 = 4,326/x
  3. Step 3: Cross multiply
    6,975.78x = 9,631.08 × 4,326
  4. Step 4: Simplify right side
    6,975.78x = 41,664,052.08
  5. Step 5: Solve for x
    x = 41,664,052.08/6,975.78
  6. Step 6: Final answer
    x = 5,972.67

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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.