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Finding the Fourth Proportional to 9,791.96, 13,512.69 and 5,315.63

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Solution

The fourth proportional to 9,791.96, 13,512.69 and 5,315.63 is: 7,335.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.96 : 13,512.69 = 5,315.63 : x
  2. Step 2: Convert to fraction form
    9,791.96/13,512.69 = 5,315.63/x
  3. Step 3: Cross multiply
    9,791.96x = 13,512.69 × 5,315.63
  4. Step 4: Simplify right side
    9,791.96x = 71,828,392.78
  5. Step 5: Solve for x
    x = 71,828,392.78/9,791.96
  6. Step 6: Final answer
    x = 7,335.45

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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.