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Finding the Fourth Proportional to 6,026.95, 9,038.97 and 1,644.43

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Solution

The fourth proportional to 6,026.95, 9,038.97 and 1,644.43 is: 2,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,026.95 : 9,038.97 = 1,644.43 : x
  2. Step 2: Convert to fraction form
    6,026.95/9,038.97 = 1,644.43/x
  3. Step 3: Cross multiply
    6,026.95x = 9,038.97 × 1,644.43
  4. Step 4: Simplify right side
    6,026.95x = 14,863,953.44
  5. Step 5: Solve for x
    x = 14,863,953.44/6,026.95
  6. Step 6: Final answer
    x = 2,466.25

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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.