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Finding the Fourth Proportional to 6,849.76, 9,452.65 and 3,705.94

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Solution

The fourth proportional to 6,849.76, 9,452.65 and 3,705.94 is: 5,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.76 : 9,452.65 = 3,705.94 : x
  2. Step 2: Convert to fraction form
    6,849.76/9,452.65 = 3,705.94/x
  3. Step 3: Cross multiply
    6,849.76x = 9,452.65 × 3,705.94
  4. Step 4: Simplify right side
    6,849.76x = 35,030,953.74
  5. Step 5: Solve for x
    x = 35,030,953.74/6,849.76
  6. Step 6: Final answer
    x = 5,114.19

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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.