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Finding the Fourth Proportional to 6,698.11, 9,243.80 and 3,714.07

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Solution

The fourth proportional to 6,698.11, 9,243.80 and 3,714.07 is: 5,125.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.11 : 9,243.80 = 3,714.07 : x
  2. Step 2: Convert to fraction form
    6,698.11/9,243.80 = 3,714.07/x
  3. Step 3: Cross multiply
    6,698.11x = 9,243.80 × 3,714.07
  4. Step 4: Simplify right side
    6,698.11x = 34,332,120.27
  5. Step 5: Solve for x
    x = 34,332,120.27/6,698.11
  6. Step 6: Final answer
    x = 5,125.64

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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.