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Finding the Fourth Proportional to 6,020.32, 9,021.84 and 3,964

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Solution

The fourth proportional to 6,020.32, 9,021.84 and 3,964 is: 5,940.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,020.32 : 9,021.84 = 3,964 : x
  2. Step 2: Convert to fraction form
    6,020.32/9,021.84 = 3,964/x
  3. Step 3: Cross multiply
    6,020.32x = 9,021.84 × 3,964
  4. Step 4: Simplify right side
    6,020.32x = 35,762,573.76
  5. Step 5: Solve for x
    x = 35,762,573.76/6,020.32
  6. Step 6: Final answer
    x = 5,940.31

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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.