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Finding the Fourth Proportional to 9,937, 14,912.52 and 4,743.28

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Solution

The fourth proportional to 9,937, 14,912.52 and 4,743.28 is: 7,118.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937 : 14,912.52 = 4,743.28 : x
  2. Step 2: Convert to fraction form
    9,937/14,912.52 = 4,743.28/x
  3. Step 3: Cross multiply
    9,937x = 14,912.52 × 4,743.28
  4. Step 4: Simplify right side
    9,937x = 70,734,257.87
  5. Step 5: Solve for x
    x = 70,734,257.87/9,937
  6. Step 6: Final answer
    x = 7,118.27

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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.