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Finding the Fourth Proportional to 6,795.65, 9,377.84 and 3,811.41

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Solution

The fourth proportional to 6,795.65, 9,377.84 and 3,811.41 is: 5,259.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,795.65 : 9,377.84 = 3,811.41 : x
  2. Step 2: Convert to fraction form
    6,795.65/9,377.84 = 3,811.41/x
  3. Step 3: Cross multiply
    6,795.65x = 9,377.84 × 3,811.41
  4. Step 4: Simplify right side
    6,795.65x = 35,742,774.10
  5. Step 5: Solve for x
    x = 35,742,774.10/6,795.65
  6. Step 6: Final answer
    x = 5,259.66

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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.