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Finding the Fourth Proportional to 9,980.70, 14,971.81 and 5,821.12

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Solution

The fourth proportional to 9,980.70, 14,971.81 and 5,821.12 is: 8,732.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.70 : 14,971.81 = 5,821.12 : x
  2. Step 2: Convert to fraction form
    9,980.70/14,971.81 = 5,821.12/x
  3. Step 3: Cross multiply
    9,980.70x = 14,971.81 × 5,821.12
  4. Step 4: Simplify right side
    9,980.70x = 87,152,673.52
  5. Step 5: Solve for x
    x = 87,152,673.52/9,980.70
  6. Step 6: Final answer
    x = 8,732.12

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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.