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Finding the Fourth Proportional to 6,903.20, 9,529.65 and 4,069.68

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Solution

The fourth proportional to 6,903.20, 9,529.65 and 4,069.68 is: 5,618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903.20 : 9,529.65 = 4,069.68 : x
  2. Step 2: Convert to fraction form
    6,903.20/9,529.65 = 4,069.68/x
  3. Step 3: Cross multiply
    6,903.20x = 9,529.65 × 4,069.68
  4. Step 4: Simplify right side
    6,903.20x = 38,782,626.01
  5. Step 5: Solve for x
    x = 38,782,626.01/6,903.20
  6. Step 6: Final answer
    x = 5,618.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.