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Finding the Fourth Proportional to 6,609.84, 9,120.25 and 3,778.14

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Solution

The fourth proportional to 6,609.84, 9,120.25 and 3,778.14 is: 5,213.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,609.84 : 9,120.25 = 3,778.14 : x
  2. Step 2: Convert to fraction form
    6,609.84/9,120.25 = 3,778.14/x
  3. Step 3: Cross multiply
    6,609.84x = 9,120.25 × 3,778.14
  4. Step 4: Simplify right side
    6,609.84x = 34,457,599.01
  5. Step 5: Solve for x
    x = 34,457,599.01/6,609.84
  6. Step 6: Final answer
    x = 5,213.08

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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.