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Finding the Fourth Proportional to 6,097.62, 8,414.66 and 3,303.12

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Solution

The fourth proportional to 6,097.62, 8,414.66 and 3,303.12 is: 4,558.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.62 : 8,414.66 = 3,303.12 : x
  2. Step 2: Convert to fraction form
    6,097.62/8,414.66 = 3,303.12/x
  3. Step 3: Cross multiply
    6,097.62x = 8,414.66 × 3,303.12
  4. Step 4: Simplify right side
    6,097.62x = 27,794,631.74
  5. Step 5: Solve for x
    x = 27,794,631.74/6,097.62
  6. Step 6: Final answer
    x = 4,558.28

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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.