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Finding the Fourth Proportional to 6,301.02, 9,440.73 and 4,448.82

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Solution

The fourth proportional to 6,301.02, 9,440.73 and 4,448.82 is: 6,665.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.02 : 9,440.73 = 4,448.82 : x
  2. Step 2: Convert to fraction form
    6,301.02/9,440.73 = 4,448.82/x
  3. Step 3: Cross multiply
    6,301.02x = 9,440.73 × 4,448.82
  4. Step 4: Simplify right side
    6,301.02x = 42,000,108.44
  5. Step 5: Solve for x
    x = 42,000,108.44/6,301.02
  6. Step 6: Final answer
    x = 6,665.60

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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.