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Finding the Fourth Proportional to 9,836.90, 14,755.33 and 3,083

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Solution

The fourth proportional to 9,836.90, 14,755.33 and 3,083 is: 4,624.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.90 : 14,755.33 = 3,083 : x
  2. Step 2: Convert to fraction form
    9,836.90/14,755.33 = 3,083/x
  3. Step 3: Cross multiply
    9,836.90x = 14,755.33 × 3,083
  4. Step 4: Simplify right side
    9,836.90x = 45,490,666.98
  5. Step 5: Solve for x
    x = 45,490,666.98/9,836.90
  6. Step 6: Final answer
    x = 4,624.49

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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.