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Finding the Fourth Proportional to 9,980.67, 13,772.43 and 5,503.32

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Solution

The fourth proportional to 9,980.67, 13,772.43 and 5,503.32 is: 7,594.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.67 : 13,772.43 = 5,503.32 : x
  2. Step 2: Convert to fraction form
    9,980.67/13,772.43 = 5,503.32/x
  3. Step 3: Cross multiply
    9,980.67x = 13,772.43 × 5,503.32
  4. Step 4: Simplify right side
    9,980.67x = 75,794,089.47
  5. Step 5: Solve for x
    x = 75,794,089.47/9,980.67
  6. Step 6: Final answer
    x = 7,594.09

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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.