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Finding the Fourth Proportional to 9,403.82, 12,973.84 and 5,627.09

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Solution

The fourth proportional to 9,403.82, 12,973.84 and 5,627.09 is: 7,763.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.82 : 12,973.84 = 5,627.09 : x
  2. Step 2: Convert to fraction form
    9,403.82/12,973.84 = 5,627.09/x
  3. Step 3: Cross multiply
    9,403.82x = 12,973.84 × 5,627.09
  4. Step 4: Simplify right side
    9,403.82x = 73,004,983.69
  5. Step 5: Solve for x
    x = 73,004,983.69/9,403.82
  6. Step 6: Final answer
    x = 7,763.33

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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.