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Finding the Fourth Proportional to 6,700.95, 9,247.50 and 4,046.82

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Solution

The fourth proportional to 6,700.95, 9,247.50 and 4,046.82 is: 5,584.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.95 : 9,247.50 = 4,046.82 : x
  2. Step 2: Convert to fraction form
    6,700.95/9,247.50 = 4,046.82/x
  3. Step 3: Cross multiply
    6,700.95x = 9,247.50 × 4,046.82
  4. Step 4: Simplify right side
    6,700.95x = 37,422,967.95
  5. Step 5: Solve for x
    x = 37,422,967.95/6,700.95
  6. Step 6: Final answer
    x = 5,584.73

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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.