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Finding the Fourth Proportional to 6,830.65, 9,426.72 and 3,846.75

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Solution

The fourth proportional to 6,830.65, 9,426.72 and 3,846.75 is: 5,308.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.65 : 9,426.72 = 3,846.75 : x
  2. Step 2: Convert to fraction form
    6,830.65/9,426.72 = 3,846.75/x
  3. Step 3: Cross multiply
    6,830.65x = 9,426.72 × 3,846.75
  4. Step 4: Simplify right side
    6,830.65x = 36,262,235.16
  5. Step 5: Solve for x
    x = 36,262,235.16/6,830.65
  6. Step 6: Final answer
    x = 5,308.75

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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.