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Finding the Fourth Proportional to 9,223, 13,834.37 and 4,289.88

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Solution

The fourth proportional to 9,223, 13,834.37 and 4,289.88 is: 6,434.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223 : 13,834.37 = 4,289.88 : x
  2. Step 2: Convert to fraction form
    9,223/13,834.37 = 4,289.88/x
  3. Step 3: Cross multiply
    9,223x = 13,834.37 × 4,289.88
  4. Step 4: Simplify right side
    9,223x = 59,347,787.18
  5. Step 5: Solve for x
    x = 59,347,787.18/9,223
  6. Step 6: Final answer
    x = 6,434.76

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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.