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Finding the Fourth Proportional to 6,429.37, 8,861.94 and 4,304.14

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Solution

The fourth proportional to 6,429.37, 8,861.94 and 4,304.14 is: 5,932.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.37 : 8,861.94 = 4,304.14 : x
  2. Step 2: Convert to fraction form
    6,429.37/8,861.94 = 4,304.14/x
  3. Step 3: Cross multiply
    6,429.37x = 8,861.94 × 4,304.14
  4. Step 4: Simplify right side
    6,429.37x = 38,143,030.43
  5. Step 5: Solve for x
    x = 38,143,030.43/6,429.37
  6. Step 6: Final answer
    x = 5,932.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.