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Finding the Fourth Proportional to 6,231.62, 9,347.40 and 1,957.67

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Solution

The fourth proportional to 6,231.62, 9,347.40 and 1,957.67 is: 2,936.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.62 : 9,347.40 = 1,957.67 : x
  2. Step 2: Convert to fraction form
    6,231.62/9,347.40 = 1,957.67/x
  3. Step 3: Cross multiply
    6,231.62x = 9,347.40 × 1,957.67
  4. Step 4: Simplify right side
    6,231.62x = 18,299,068.03
  5. Step 5: Solve for x
    x = 18,299,068.03/6,231.62
  6. Step 6: Final answer
    x = 2,936.49

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