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Finding the Fourth Proportional to 6,068.38, 9,105.12 and 3,297

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Solution

The fourth proportional to 6,068.38, 9,105.12 and 3,297 is: 4,946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,068.38 : 9,105.12 = 3,297 : x
  2. Step 2: Convert to fraction form
    6,068.38/9,105.12 = 3,297/x
  3. Step 3: Cross multiply
    6,068.38x = 9,105.12 × 3,297
  4. Step 4: Simplify right side
    6,068.38x = 30,019,580.64
  5. Step 5: Solve for x
    x = 30,019,580.64/6,068.38
  6. Step 6: Final answer
    x = 4,946.89

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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.