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Finding the Fourth Proportional to 6,849.54, 9,452.72 and 4,160.79

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Solution

The fourth proportional to 6,849.54, 9,452.72 and 4,160.79 is: 5,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.54 : 9,452.72 = 4,160.79 : x
  2. Step 2: Convert to fraction form
    6,849.54/9,452.72 = 4,160.79/x
  3. Step 3: Cross multiply
    6,849.54x = 9,452.72 × 4,160.79
  4. Step 4: Simplify right side
    6,849.54x = 39,330,762.04
  5. Step 5: Solve for x
    x = 39,330,762.04/6,849.54
  6. Step 6: Final answer
    x = 5,742.10

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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.