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Finding the Fourth Proportional to 6,661.62, 9,191.57 and 3,865.50

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Solution

The fourth proportional to 6,661.62, 9,191.57 and 3,865.50 is: 5,333.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.62 : 9,191.57 = 3,865.50 : x
  2. Step 2: Convert to fraction form
    6,661.62/9,191.57 = 3,865.50/x
  3. Step 3: Cross multiply
    6,661.62x = 9,191.57 × 3,865.50
  4. Step 4: Simplify right side
    6,661.62x = 35,529,994.51
  5. Step 5: Solve for x
    x = 35,529,994.51/6,661.62
  6. Step 6: Final answer
    x = 5,333.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.