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Finding the Fourth Proportional to 9,791.33, 13,512.05 and 5,315.08

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Solution

The fourth proportional to 9,791.33, 13,512.05 and 5,315.08 is: 7,334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.33 : 13,512.05 = 5,315.08 : x
  2. Step 2: Convert to fraction form
    9,791.33/13,512.05 = 5,315.08/x
  3. Step 3: Cross multiply
    9,791.33x = 13,512.05 × 5,315.08
  4. Step 4: Simplify right side
    9,791.33x = 71,817,626.71
  5. Step 5: Solve for x
    x = 71,817,626.71/9,791.33
  6. Step 6: Final answer
    x = 7,334.82

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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.