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Finding the Fourth Proportional to 6,384.22, 9,576.32 and 2,002.01

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Solution

The fourth proportional to 6,384.22, 9,576.32 and 2,002.01 is: 3,003.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.22 : 9,576.32 = 2,002.01 : x
  2. Step 2: Convert to fraction form
    6,384.22/9,576.32 = 2,002.01/x
  3. Step 3: Cross multiply
    6,384.22x = 9,576.32 × 2,002.01
  4. Step 4: Simplify right side
    6,384.22x = 19,171,830.51
  5. Step 5: Solve for x
    x = 19,171,830.51/6,384.22
  6. Step 6: Final answer
    x = 3,003.00

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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.