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Finding the Fourth Proportional to 6,427.41, 9,640.74 and 2,044.53

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Solution

The fourth proportional to 6,427.41, 9,640.74 and 2,044.53 is: 3,066.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.41 : 9,640.74 = 2,044.53 : x
  2. Step 2: Convert to fraction form
    6,427.41/9,640.74 = 2,044.53/x
  3. Step 3: Cross multiply
    6,427.41x = 9,640.74 × 2,044.53
  4. Step 4: Simplify right side
    6,427.41x = 19,710,782.15
  5. Step 5: Solve for x
    x = 19,710,782.15/6,427.41
  6. Step 6: Final answer
    x = 3,066.68

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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.