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Finding the Fourth Proportional to 6,798.78, 9,381.42 and 3,814.61

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Solution

The fourth proportional to 6,798.78, 9,381.42 and 3,814.61 is: 5,263.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.78 : 9,381.42 = 3,814.61 : x
  2. Step 2: Convert to fraction form
    6,798.78/9,381.42 = 3,814.61/x
  3. Step 3: Cross multiply
    6,798.78x = 9,381.42 × 3,814.61
  4. Step 4: Simplify right side
    6,798.78x = 35,786,411.64
  5. Step 5: Solve for x
    x = 35,786,411.64/6,798.78
  6. Step 6: Final answer
    x = 5,263.65

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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.