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Finding the Fourth Proportional to 6,209.92, 9,316.22 and 2,049.72

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Solution

The fourth proportional to 6,209.92, 9,316.22 and 2,049.72 is: 3,075.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.92 : 9,316.22 = 2,049.72 : x
  2. Step 2: Convert to fraction form
    6,209.92/9,316.22 = 2,049.72/x
  3. Step 3: Cross multiply
    6,209.92x = 9,316.22 × 2,049.72
  4. Step 4: Simplify right side
    6,209.92x = 19,095,642.46
  5. Step 5: Solve for x
    x = 19,095,642.46/6,209.92
  6. Step 6: Final answer
    x = 3,075.02

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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.