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Finding the Fourth Proportional to 6,349.07, 9,523.40 and 1,965.35

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Solution

The fourth proportional to 6,349.07, 9,523.40 and 1,965.35 is: 2,947.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.07 : 9,523.40 = 1,965.35 : x
  2. Step 2: Convert to fraction form
    6,349.07/9,523.40 = 1,965.35/x
  3. Step 3: Cross multiply
    6,349.07x = 9,523.40 × 1,965.35
  4. Step 4: Simplify right side
    6,349.07x = 18,716,756.75
  5. Step 5: Solve for x
    x = 18,716,756.75/6,349.07
  6. Step 6: Final answer
    x = 2,947.95

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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.