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Finding the Fourth Proportional to 6,698.04, 9,243.19 and 3,713.80

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Solution

The fourth proportional to 6,698.04, 9,243.19 and 3,713.80 is: 5,124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.04 : 9,243.19 = 3,713.80 : x
  2. Step 2: Convert to fraction form
    6,698.04/9,243.19 = 3,713.80/x
  3. Step 3: Cross multiply
    6,698.04x = 9,243.19 × 3,713.80
  4. Step 4: Simplify right side
    6,698.04x = 34,327,359.02
  5. Step 5: Solve for x
    x = 34,327,359.02/6,698.04
  6. Step 6: Final answer
    x = 5,124.99

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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.