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Finding the Fourth Proportional to 6,171.76, 9,237.14 and 4,933.37

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Solution

The fourth proportional to 6,171.76, 9,237.14 and 4,933.37 is: 7,383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.76 : 9,237.14 = 4,933.37 : x
  2. Step 2: Convert to fraction form
    6,171.76/9,237.14 = 4,933.37/x
  3. Step 3: Cross multiply
    6,171.76x = 9,237.14 × 4,933.37
  4. Step 4: Simplify right side
    6,171.76x = 45,570,246.29
  5. Step 5: Solve for x
    x = 45,570,246.29/6,171.76
  6. Step 6: Final answer
    x = 7,383.67

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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.