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Finding the Fourth Proportional to 6,029.74, 9,045.07 and 1,647.54

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Solution

The fourth proportional to 6,029.74, 9,045.07 and 1,647.54 is: 2,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.74 : 9,045.07 = 1,647.54 : x
  2. Step 2: Convert to fraction form
    6,029.74/9,045.07 = 1,647.54/x
  3. Step 3: Cross multiply
    6,029.74x = 9,045.07 × 1,647.54
  4. Step 4: Simplify right side
    6,029.74x = 14,902,110.51
  5. Step 5: Solve for x
    x = 14,902,110.51/6,029.74
  6. Step 6: Final answer
    x = 2,471.43

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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.