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Finding the Fourth Proportional to 9,980.15, 13,773.89 and 8,298.67

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Solution

The fourth proportional to 9,980.15, 13,773.89 and 8,298.67 is: 11,453.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.15 : 13,773.89 = 8,298.67 : x
  2. Step 2: Convert to fraction form
    9,980.15/13,773.89 = 8,298.67/x
  3. Step 3: Cross multiply
    9,980.15x = 13,773.89 × 8,298.67
  4. Step 4: Simplify right side
    9,980.15x = 114,304,954.04
  5. Step 5: Solve for x
    x = 114,304,954.04/9,980.15
  6. Step 6: Final answer
    x = 11,453.23

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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.