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Finding the Fourth Proportional to 6,735.42, 9,293.70 and 6,191.04

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Solution

The fourth proportional to 6,735.42, 9,293.70 and 6,191.04 is: 8,542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.42 : 9,293.70 = 6,191.04 : x
  2. Step 2: Convert to fraction form
    6,735.42/9,293.70 = 6,191.04/x
  3. Step 3: Cross multiply
    6,735.42x = 9,293.70 × 6,191.04
  4. Step 4: Simplify right side
    6,735.42x = 57,537,668.45
  5. Step 5: Solve for x
    x = 57,537,668.45/6,735.42
  6. Step 6: Final answer
    x = 8,542.55

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