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Finding the Fourth Proportional to 6,296.34, 9,439.03 and 3,693.81

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Solution

The fourth proportional to 6,296.34, 9,439.03 and 3,693.81 is: 5,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.34 : 9,439.03 = 3,693.81 : x
  2. Step 2: Convert to fraction form
    6,296.34/9,439.03 = 3,693.81/x
  3. Step 3: Cross multiply
    6,296.34x = 9,439.03 × 3,693.81
  4. Step 4: Simplify right side
    6,296.34x = 34,865,983.40
  5. Step 5: Solve for x
    x = 34,865,983.40/6,296.34
  6. Step 6: Final answer
    x = 5,537.50

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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.