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Finding the Fourth Proportional to 6,849.80, 9,452.68 and 3,706.01

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Solution

The fourth proportional to 6,849.80, 9,452.68 and 3,706.01 is: 5,114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.80 : 9,452.68 = 3,706.01 : x
  2. Step 2: Convert to fraction form
    6,849.80/9,452.68 = 3,706.01/x
  3. Step 3: Cross multiply
    6,849.80x = 9,452.68 × 3,706.01
  4. Step 4: Simplify right side
    6,849.80x = 35,031,670.08
  5. Step 5: Solve for x
    x = 35,031,670.08/6,849.80
  6. Step 6: Final answer
    x = 5,114.27

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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.