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Finding the Fourth Proportional to 9,578.36, 13,212.74 and 5,749.02

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Solution

The fourth proportional to 9,578.36, 13,212.74 and 5,749.02 is: 7,930.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.36 : 13,212.74 = 5,749.02 : x
  2. Step 2: Convert to fraction form
    9,578.36/13,212.74 = 5,749.02/x
  3. Step 3: Cross multiply
    9,578.36x = 13,212.74 × 5,749.02
  4. Step 4: Simplify right side
    9,578.36x = 75,960,306.51
  5. Step 5: Solve for x
    x = 75,960,306.51/9,578.36
  6. Step 6: Final answer
    x = 7,930.41

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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.