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Finding the Fourth Proportional to 9,206.35, 13,808.19 and 2,965.57

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Solution

The fourth proportional to 9,206.35, 13,808.19 and 2,965.57 is: 4,447.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.35 : 13,808.19 = 2,965.57 : x
  2. Step 2: Convert to fraction form
    9,206.35/13,808.19 = 2,965.57/x
  3. Step 3: Cross multiply
    9,206.35x = 13,808.19 × 2,965.57
  4. Step 4: Simplify right side
    9,206.35x = 40,949,154.02
  5. Step 5: Solve for x
    x = 40,949,154.02/9,206.35
  6. Step 6: Final answer
    x = 4,447.92

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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.