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Finding the Fourth Proportional to 9,313.50, 13,972.08 and 4,119.39

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Solution

The fourth proportional to 9,313.50, 13,972.08 and 4,119.39 is: 6,179.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.50 : 13,972.08 = 4,119.39 : x
  2. Step 2: Convert to fraction form
    9,313.50/13,972.08 = 4,119.39/x
  3. Step 3: Cross multiply
    9,313.50x = 13,972.08 × 4,119.39
  4. Step 4: Simplify right side
    9,313.50x = 57,556,446.63
  5. Step 5: Solve for x
    x = 57,556,446.63/9,313.50
  6. Step 6: Final answer
    x = 6,179.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.