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Finding the Fourth Proportional to 6,097.50, 8,414.55 and 3,303

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Solution

The fourth proportional to 6,097.50, 8,414.55 and 3,303 is: 4,558.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.50 : 8,414.55 = 3,303 : x
  2. Step 2: Convert to fraction form
    6,097.50/8,414.55 = 3,303/x
  3. Step 3: Cross multiply
    6,097.50x = 8,414.55 × 3,303
  4. Step 4: Simplify right side
    6,097.50x = 27,793,258.65
  5. Step 5: Solve for x
    x = 27,793,258.65/6,097.50
  6. Step 6: Final answer
    x = 4,558.14

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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.