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Finding the Fourth Proportional to 6,541.16, 9,795.33 and 3,907.04

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Solution

The fourth proportional to 6,541.16, 9,795.33 and 3,907.04 is: 5,850.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.16 : 9,795.33 = 3,907.04 : x
  2. Step 2: Convert to fraction form
    6,541.16/9,795.33 = 3,907.04/x
  3. Step 3: Cross multiply
    6,541.16x = 9,795.33 × 3,907.04
  4. Step 4: Simplify right side
    6,541.16x = 38,270,697.15
  5. Step 5: Solve for x
    x = 38,270,697.15/6,541.16
  6. Step 6: Final answer
    x = 5,850.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.