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Finding the Fourth Proportional to 9,937, 14,906.31 and 3,011.50

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Solution

The fourth proportional to 9,937, 14,906.31 and 3,011.50 is: 4,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937 : 14,906.31 = 3,011.50 : x
  2. Step 2: Convert to fraction form
    9,937/14,906.31 = 3,011.50/x
  3. Step 3: Cross multiply
    9,937x = 14,906.31 × 3,011.50
  4. Step 4: Simplify right side
    9,937x = 44,890,352.57
  5. Step 5: Solve for x
    x = 44,890,352.57/9,937
  6. Step 6: Final answer
    x = 4,517.50

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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.