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Finding the Fourth Proportional to 9,983.49, 14,968.18 and 4,433.82

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Solution

The fourth proportional to 9,983.49, 14,968.18 and 4,433.82 is: 6,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.49 : 14,968.18 = 4,433.82 : x
  2. Step 2: Convert to fraction form
    9,983.49/14,968.18 = 4,433.82/x
  3. Step 3: Cross multiply
    9,983.49x = 14,968.18 × 4,433.82
  4. Step 4: Simplify right side
    9,983.49x = 66,366,215.85
  5. Step 5: Solve for x
    x = 66,366,215.85/9,983.49
  6. Step 6: Final answer
    x = 6,647.60

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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.