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Finding the Fourth Proportional to 6,351.24, 9,533.01 and 3,066.64

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Solution

The fourth proportional to 6,351.24, 9,533.01 and 3,066.64 is: 4,602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.24 : 9,533.01 = 3,066.64 : x
  2. Step 2: Convert to fraction form
    6,351.24/9,533.01 = 3,066.64/x
  3. Step 3: Cross multiply
    6,351.24x = 9,533.01 × 3,066.64
  4. Step 4: Simplify right side
    6,351.24x = 29,234,309.79
  5. Step 5: Solve for x
    x = 29,234,309.79/6,351.24
  6. Step 6: Final answer
    x = 4,602.93

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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.