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Finding the Fourth Proportional to 6,695.98, 9,240.30 and 3,711.64

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Solution

The fourth proportional to 6,695.98, 9,240.30 and 3,711.64 is: 5,121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.98 : 9,240.30 = 3,711.64 : x
  2. Step 2: Convert to fraction form
    6,695.98/9,240.30 = 3,711.64/x
  3. Step 3: Cross multiply
    6,695.98x = 9,240.30 × 3,711.64
  4. Step 4: Simplify right side
    6,695.98x = 34,296,667.09
  5. Step 5: Solve for x
    x = 34,296,667.09/6,695.98
  6. Step 6: Final answer
    x = 5,121.98

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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.