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Finding the Fourth Proportional to 6,266.60, 9,396.30 and 1,883.40

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Solution

The fourth proportional to 6,266.60, 9,396.30 and 1,883.40 is: 2,824.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.60 : 9,396.30 = 1,883.40 : x
  2. Step 2: Convert to fraction form
    6,266.60/9,396.30 = 1,883.40/x
  3. Step 3: Cross multiply
    6,266.60x = 9,396.30 × 1,883.40
  4. Step 4: Simplify right side
    6,266.60x = 17,696,991.42
  5. Step 5: Solve for x
    x = 17,696,991.42/6,266.60
  6. Step 6: Final answer
    x = 2,824.02

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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.