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Finding the Fourth Proportional to 9,980.82, 14,971.99 and 5,821.25

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Solution

The fourth proportional to 9,980.82, 14,971.99 and 5,821.25 is: 8,732.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.82 : 14,971.99 = 5,821.25 : x
  2. Step 2: Convert to fraction form
    9,980.82/14,971.99 = 5,821.25/x
  3. Step 3: Cross multiply
    9,980.82x = 14,971.99 × 5,821.25
  4. Step 4: Simplify right side
    9,980.82x = 87,155,636.48
  5. Step 5: Solve for x
    x = 87,155,636.48/9,980.82
  6. Step 6: Final answer
    x = 8,732.31

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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.