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Finding the Fourth Proportional to 6,941.68, 9,579.68 and 3,798.10

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Solution

The fourth proportional to 6,941.68, 9,579.68 and 3,798.10 is: 5,241.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.68 : 9,579.68 = 3,798.10 : x
  2. Step 2: Convert to fraction form
    6,941.68/9,579.68 = 3,798.10/x
  3. Step 3: Cross multiply
    6,941.68x = 9,579.68 × 3,798.10
  4. Step 4: Simplify right side
    6,941.68x = 36,384,582.61
  5. Step 5: Solve for x
    x = 36,384,582.61/6,941.68
  6. Step 6: Final answer
    x = 5,241.47

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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.