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Finding the Fourth Proportional to 6,356.64, 9,533.14 and 2,195.56

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Solution

The fourth proportional to 6,356.64, 9,533.14 and 2,195.56 is: 3,292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.64 : 9,533.14 = 2,195.56 : x
  2. Step 2: Convert to fraction form
    6,356.64/9,533.14 = 2,195.56/x
  3. Step 3: Cross multiply
    6,356.64x = 9,533.14 × 2,195.56
  4. Step 4: Simplify right side
    6,356.64x = 20,930,580.86
  5. Step 5: Solve for x
    x = 20,930,580.86/6,356.64
  6. Step 6: Final answer
    x = 3,292.71

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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.