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Finding the Fourth Proportional to 6,357.72, 9,533.68 and 4,134.36

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Solution

The fourth proportional to 6,357.72, 9,533.68 and 4,134.36 is: 6,199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.72 : 9,533.68 = 4,134.36 : x
  2. Step 2: Convert to fraction form
    6,357.72/9,533.68 = 4,134.36/x
  3. Step 3: Cross multiply
    6,357.72x = 9,533.68 × 4,134.36
  4. Step 4: Simplify right side
    6,357.72x = 39,415,665.24
  5. Step 5: Solve for x
    x = 39,415,665.24/6,357.72
  6. Step 6: Final answer
    x = 6,199.65

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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.