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Finding the Fourth Proportional to 9,980.64, 13,773.42 and 5,504.94

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Solution

The fourth proportional to 9,980.64, 13,773.42 and 5,504.94 is: 7,596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.64 : 13,773.42 = 5,504.94 : x
  2. Step 2: Convert to fraction form
    9,980.64/13,773.42 = 5,504.94/x
  3. Step 3: Cross multiply
    9,980.64x = 13,773.42 × 5,504.94
  4. Step 4: Simplify right side
    9,980.64x = 75,821,850.69
  5. Step 5: Solve for x
    x = 75,821,850.69/9,980.64
  6. Step 6: Final answer
    x = 7,596.89

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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.