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Finding the Fourth Proportional to 6,286.53, 9,430.94 and 2,070.02

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Solution

The fourth proportional to 6,286.53, 9,430.94 and 2,070.02 is: 3,105.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.53 : 9,430.94 = 2,070.02 : x
  2. Step 2: Convert to fraction form
    6,286.53/9,430.94 = 2,070.02/x
  3. Step 3: Cross multiply
    6,286.53x = 9,430.94 × 2,070.02
  4. Step 4: Simplify right side
    6,286.53x = 19,522,239.59
  5. Step 5: Solve for x
    x = 19,522,239.59/6,286.53
  6. Step 6: Final answer
    x = 3,105.41

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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.