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Finding the Fourth Proportional to 6,029.98, 9,045.20 and 1,647.41

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Solution

The fourth proportional to 6,029.98, 9,045.20 and 1,647.41 is: 2,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.98 : 9,045.20 = 1,647.41 : x
  2. Step 2: Convert to fraction form
    6,029.98/9,045.20 = 1,647.41/x
  3. Step 3: Cross multiply
    6,029.98x = 9,045.20 × 1,647.41
  4. Step 4: Simplify right side
    6,029.98x = 14,901,111.82
  5. Step 5: Solve for x
    x = 14,901,111.82/6,029.98
  6. Step 6: Final answer
    x = 2,471.17

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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.