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Finding the Fourth Proportional to 6,083.82, 9,125.73 and 1,466.82

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Solution

The fourth proportional to 6,083.82, 9,125.73 and 1,466.82 is: 2,200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.82 : 9,125.73 = 1,466.82 : x
  2. Step 2: Convert to fraction form
    6,083.82/9,125.73 = 1,466.82/x
  3. Step 3: Cross multiply
    6,083.82x = 9,125.73 × 1,466.82
  4. Step 4: Simplify right side
    6,083.82x = 13,385,803.28
  5. Step 5: Solve for x
    x = 13,385,803.28/6,083.82
  6. Step 6: Final answer
    x = 2,200.23

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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.