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Finding the Fourth Proportional to 9,980.70, 13,774.29 and 5,732.32

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Solution

The fourth proportional to 9,980.70, 13,774.29 and 5,732.32 is: 7,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.70 : 13,774.29 = 5,732.32 : x
  2. Step 2: Convert to fraction form
    9,980.70/13,774.29 = 5,732.32/x
  3. Step 3: Cross multiply
    9,980.70x = 13,774.29 × 5,732.32
  4. Step 4: Simplify right side
    9,980.70x = 78,958,638.05
  5. Step 5: Solve for x
    x = 78,958,638.05/9,980.70
  6. Step 6: Final answer
    x = 7,911.13

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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.