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Finding the Fourth Proportional to 9,616.92, 13,271.30 and 5,367.74

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Solution

The fourth proportional to 9,616.92, 13,271.30 and 5,367.74 is: 7,407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.92 : 13,271.30 = 5,367.74 : x
  2. Step 2: Convert to fraction form
    9,616.92/13,271.30 = 5,367.74/x
  3. Step 3: Cross multiply
    9,616.92x = 13,271.30 × 5,367.74
  4. Step 4: Simplify right side
    9,616.92x = 71,236,884.69
  5. Step 5: Solve for x
    x = 71,236,884.69/9,616.92
  6. Step 6: Final answer
    x = 7,407.45

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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.