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Finding the Fourth Proportional to 6,319.52, 9,476.60 and 1,936

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Solution

The fourth proportional to 6,319.52, 9,476.60 and 1,936 is: 2,903.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.52 : 9,476.60 = 1,936 : x
  2. Step 2: Convert to fraction form
    6,319.52/9,476.60 = 1,936/x
  3. Step 3: Cross multiply
    6,319.52x = 9,476.60 × 1,936
  4. Step 4: Simplify right side
    6,319.52x = 18,346,697.60
  5. Step 5: Solve for x
    x = 18,346,697.60/6,319.52
  6. Step 6: Final answer
    x = 2,903.18

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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.