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Finding the Fourth Proportional to 6,438.60, 9,643.50 and 3,965.40

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Solution

The fourth proportional to 6,438.60, 9,643.50 and 3,965.40 is: 5,939.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.60 : 9,643.50 = 3,965.40 : x
  2. Step 2: Convert to fraction form
    6,438.60/9,643.50 = 3,965.40/x
  3. Step 3: Cross multiply
    6,438.60x = 9,643.50 × 3,965.40
  4. Step 4: Simplify right side
    6,438.60x = 38,240,334.90
  5. Step 5: Solve for x
    x = 38,240,334.90/6,438.60
  6. Step 6: Final answer
    x = 5,939.23

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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.