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Finding the Fourth Proportional to 9,980.31, 13,771.32 and 5,731.56

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Solution

The fourth proportional to 9,980.31, 13,771.32 and 5,731.56 is: 7,908.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.31 : 13,771.32 = 5,731.56 : x
  2. Step 2: Convert to fraction form
    9,980.31/13,771.32 = 5,731.56/x
  3. Step 3: Cross multiply
    9,980.31x = 13,771.32 × 5,731.56
  4. Step 4: Simplify right side
    9,980.31x = 78,931,146.86
  5. Step 5: Solve for x
    x = 78,931,146.86/9,980.31
  6. Step 6: Final answer
    x = 7,908.69

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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.