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Finding the Fourth Proportional to 9,205.60, 13,800.84 and 3,656.56

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Solution

The fourth proportional to 9,205.60, 13,800.84 and 3,656.56 is: 5,481.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.60 : 13,800.84 = 3,656.56 : x
  2. Step 2: Convert to fraction form
    9,205.60/13,800.84 = 3,656.56/x
  3. Step 3: Cross multiply
    9,205.60x = 13,800.84 × 3,656.56
  4. Step 4: Simplify right side
    9,205.60x = 50,463,599.51
  5. Step 5: Solve for x
    x = 50,463,599.51/9,205.60
  6. Step 6: Final answer
    x = 5,481.84

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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.