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Finding the Fourth Proportional to 6,735, 9,294.30 and 3,941.04

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Solution

The fourth proportional to 6,735, 9,294.30 and 3,941.04 is: 5,438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735 : 9,294.30 = 3,941.04 : x
  2. Step 2: Convert to fraction form
    6,735/9,294.30 = 3,941.04/x
  3. Step 3: Cross multiply
    6,735x = 9,294.30 × 3,941.04
  4. Step 4: Simplify right side
    6,735x = 36,629,208.07
  5. Step 5: Solve for x
    x = 36,629,208.07/6,735
  6. Step 6: Final answer
    x = 5,438.64

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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.