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Finding the Fourth Proportional to 6,864.83, 9,473.68 and 3,798.71

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Solution

The fourth proportional to 6,864.83, 9,473.68 and 3,798.71 is: 5,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.83 : 9,473.68 = 3,798.71 : x
  2. Step 2: Convert to fraction form
    6,864.83/9,473.68 = 3,798.71/x
  3. Step 3: Cross multiply
    6,864.83x = 9,473.68 × 3,798.71
  4. Step 4: Simplify right side
    6,864.83x = 35,987,767.70
  5. Step 5: Solve for x
    x = 35,987,767.70/6,864.83
  6. Step 6: Final answer
    x = 5,242.34

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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.