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Finding the Fourth Proportional to 9,337, 14,007.42 and 3,865

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Solution

The fourth proportional to 9,337, 14,007.42 and 3,865 is: 5,798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337 : 14,007.42 = 3,865 : x
  2. Step 2: Convert to fraction form
    9,337/14,007.42 = 3,865/x
  3. Step 3: Cross multiply
    9,337x = 14,007.42 × 3,865
  4. Step 4: Simplify right side
    9,337x = 54,138,678.30
  5. Step 5: Solve for x
    x = 54,138,678.30/9,337
  6. Step 6: Final answer
    x = 5,798.29

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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.