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Finding the Fourth Proportional to 6,798.60, 9,381.60 and 3,814.92

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Solution

The fourth proportional to 6,798.60, 9,381.60 and 3,814.92 is: 5,264.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.60 : 9,381.60 = 3,814.92 : x
  2. Step 2: Convert to fraction form
    6,798.60/9,381.60 = 3,814.92/x
  3. Step 3: Cross multiply
    6,798.60x = 9,381.60 × 3,814.92
  4. Step 4: Simplify right side
    6,798.60x = 35,790,053.47
  5. Step 5: Solve for x
    x = 35,790,053.47/6,798.60
  6. Step 6: Final answer
    x = 5,264.33

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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.