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Finding the Fourth Proportional to 9,970.83, 13,757.85 and 5,990.49

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Solution

The fourth proportional to 9,970.83, 13,757.85 and 5,990.49 is: 8,265.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.83 : 13,757.85 = 5,990.49 : x
  2. Step 2: Convert to fraction form
    9,970.83/13,757.85 = 5,990.49/x
  3. Step 3: Cross multiply
    9,970.83x = 13,757.85 × 5,990.49
  4. Step 4: Simplify right side
    9,970.83x = 82,416,262.85
  5. Step 5: Solve for x
    x = 82,416,262.85/9,970.83
  6. Step 6: Final answer
    x = 8,265.74

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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.