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Finding the Fourth Proportional to 6,211.96, 9,312.36 and 2,313.72

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Solution

The fourth proportional to 6,211.96, 9,312.36 and 2,313.72 is: 3,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.96 : 9,312.36 = 2,313.72 : x
  2. Step 2: Convert to fraction form
    6,211.96/9,312.36 = 2,313.72/x
  3. Step 3: Cross multiply
    6,211.96x = 9,312.36 × 2,313.72
  4. Step 4: Simplify right side
    6,211.96x = 21,546,193.58
  5. Step 5: Solve for x
    x = 21,546,193.58/6,211.96
  6. Step 6: Final answer
    x = 3,468.50

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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.