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Finding the Fourth Proportional to 6,335.06, 9,503.67 and 1,952.42

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Solution

The fourth proportional to 6,335.06, 9,503.67 and 1,952.42 is: 2,928.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.06 : 9,503.67 = 1,952.42 : x
  2. Step 2: Convert to fraction form
    6,335.06/9,503.67 = 1,952.42/x
  3. Step 3: Cross multiply
    6,335.06x = 9,503.67 × 1,952.42
  4. Step 4: Simplify right side
    6,335.06x = 18,555,155.38
  5. Step 5: Solve for x
    x = 18,555,155.38/6,335.06
  6. Step 6: Final answer
    x = 2,928.96

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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.