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Finding the Fourth Proportional to 9,205.90, 13,808.85 and 3,657.76

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Solution

The fourth proportional to 9,205.90, 13,808.85 and 3,657.76 is: 5,486.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.90 : 13,808.85 = 3,657.76 : x
  2. Step 2: Convert to fraction form
    9,205.90/13,808.85 = 3,657.76/x
  3. Step 3: Cross multiply
    9,205.90x = 13,808.85 × 3,657.76
  4. Step 4: Simplify right side
    9,205.90x = 50,509,441.80
  5. Step 5: Solve for x
    x = 50,509,441.80/9,205.90
  6. Step 6: Final answer
    x = 5,486.64

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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.