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Finding the Fourth Proportional to 9,477.67, 13,078.09 and 5,444.27

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Solution

The fourth proportional to 9,477.67, 13,078.09 and 5,444.27 is: 7,512.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.67 : 13,078.09 = 5,444.27 : x
  2. Step 2: Convert to fraction form
    9,477.67/13,078.09 = 5,444.27/x
  3. Step 3: Cross multiply
    9,477.67x = 13,078.09 × 5,444.27
  4. Step 4: Simplify right side
    9,477.67x = 71,200,653.04
  5. Step 5: Solve for x
    x = 71,200,653.04/9,477.67
  6. Step 6: Final answer
    x = 7,512.46

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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.