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Finding the Fourth Proportional to 6,798.42, 9,372.42 and 5,814.18

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Solution

The fourth proportional to 6,798.42, 9,372.42 and 5,814.18 is: 8,015.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.42 : 9,372.42 = 5,814.18 : x
  2. Step 2: Convert to fraction form
    6,798.42/9,372.42 = 5,814.18/x
  3. Step 3: Cross multiply
    6,798.42x = 9,372.42 × 5,814.18
  4. Step 4: Simplify right side
    6,798.42x = 54,492,936.92
  5. Step 5: Solve for x
    x = 54,492,936.92/6,798.42
  6. Step 6: Final answer
    x = 8,015.53

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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.