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Finding the Fourth Proportional to 9,763.64, 14,646.44 and 2,743.67

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Solution

The fourth proportional to 9,763.64, 14,646.44 and 2,743.67 is: 4,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.64 : 14,646.44 = 2,743.67 : x
  2. Step 2: Convert to fraction form
    9,763.64/14,646.44 = 2,743.67/x
  3. Step 3: Cross multiply
    9,763.64x = 14,646.44 × 2,743.67
  4. Step 4: Simplify right side
    9,763.64x = 40,184,998.03
  5. Step 5: Solve for x
    x = 40,184,998.03/9,763.64
  6. Step 6: Final answer
    x = 4,115.78

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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.