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Finding the Fourth Proportional to 6,356.75, 9,533.61 and 2,196.91

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Solution

The fourth proportional to 6,356.75, 9,533.61 and 2,196.91 is: 3,294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.75 : 9,533.61 = 2,196.91 : x
  2. Step 2: Convert to fraction form
    6,356.75/9,533.61 = 2,196.91/x
  3. Step 3: Cross multiply
    6,356.75x = 9,533.61 × 2,196.91
  4. Step 4: Simplify right side
    6,356.75x = 20,944,459.31
  5. Step 5: Solve for x
    x = 20,944,459.31/6,356.75
  6. Step 6: Final answer
    x = 3,294.84

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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.