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Finding the Fourth Proportional to 6,862.37, 9,466.90 and 4,028.84

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Solution

The fourth proportional to 6,862.37, 9,466.90 and 4,028.84 is: 5,557.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.37 : 9,466.90 = 4,028.84 : x
  2. Step 2: Convert to fraction form
    6,862.37/9,466.90 = 4,028.84/x
  3. Step 3: Cross multiply
    6,862.37x = 9,466.90 × 4,028.84
  4. Step 4: Simplify right side
    6,862.37x = 38,140,625.40
  5. Step 5: Solve for x
    x = 38,140,625.40/6,862.37
  6. Step 6: Final answer
    x = 5,557.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.