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Finding the Fourth Proportional to 6,433.47, 9,644.74 and 6,127.29

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Solution

The fourth proportional to 6,433.47, 9,644.74 and 6,127.29 is: 9,185.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.47 : 9,644.74 = 6,127.29 : x
  2. Step 2: Convert to fraction form
    6,433.47/9,644.74 = 6,127.29/x
  3. Step 3: Cross multiply
    6,433.47x = 9,644.74 × 6,127.29
  4. Step 4: Simplify right side
    6,433.47x = 59,096,103.64
  5. Step 5: Solve for x
    x = 59,096,103.64/6,433.47
  6. Step 6: Final answer
    x = 9,185.73

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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.