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Finding the Fourth Proportional to 9,763.92, 14,648.10 and 3,190.02

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Solution

The fourth proportional to 9,763.92, 14,648.10 and 3,190.02 is: 4,785.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.92 : 14,648.10 = 3,190.02 : x
  2. Step 2: Convert to fraction form
    9,763.92/14,648.10 = 3,190.02/x
  3. Step 3: Cross multiply
    9,763.92x = 14,648.10 × 3,190.02
  4. Step 4: Simplify right side
    9,763.92x = 46,727,731.96
  5. Step 5: Solve for x
    x = 46,727,731.96/9,763.92
  6. Step 6: Final answer
    x = 4,785.76

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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.