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Finding the Fourth Proportional to 9,752.57, 14,630.07 and 3,176.99

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Solution

The fourth proportional to 9,752.57, 14,630.07 and 3,176.99 is: 4,765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.57 : 14,630.07 = 3,176.99 : x
  2. Step 2: Convert to fraction form
    9,752.57/14,630.07 = 3,176.99/x
  3. Step 3: Cross multiply
    9,752.57x = 14,630.07 × 3,176.99
  4. Step 4: Simplify right side
    9,752.57x = 46,479,512.94
  5. Step 5: Solve for x
    x = 46,479,512.94/9,752.57
  6. Step 6: Final answer
    x = 4,765.88

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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.