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Finding the Fourth Proportional to 6,357.69, 9,533.46 and 2,196.24

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Solution

The fourth proportional to 6,357.69, 9,533.46 and 2,196.24 is: 3,293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.69 : 9,533.46 = 2,196.24 : x
  2. Step 2: Convert to fraction form
    6,357.69/9,533.46 = 2,196.24/x
  3. Step 3: Cross multiply
    6,357.69x = 9,533.46 × 2,196.24
  4. Step 4: Simplify right side
    6,357.69x = 20,937,795.51
  5. Step 5: Solve for x
    x = 20,937,795.51/6,357.69
  6. Step 6: Final answer
    x = 3,293.30

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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.