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Finding the Fourth Proportional to 9,984.54, 13,779.36 and 5,736.27

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Solution

The fourth proportional to 9,984.54, 13,779.36 and 5,736.27 is: 7,916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.54 : 13,779.36 = 5,736.27 : x
  2. Step 2: Convert to fraction form
    9,984.54/13,779.36 = 5,736.27/x
  3. Step 3: Cross multiply
    9,984.54x = 13,779.36 × 5,736.27
  4. Step 4: Simplify right side
    9,984.54x = 79,042,129.39
  5. Step 5: Solve for x
    x = 79,042,129.39/9,984.54
  6. Step 6: Final answer
    x = 7,916.45

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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.