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Finding the Fourth Proportional to 9,309.54, 12,846.84 and 5,117.76

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Solution

The fourth proportional to 9,309.54, 12,846.84 and 5,117.76 is: 7,062.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.54 : 12,846.84 = 5,117.76 : x
  2. Step 2: Convert to fraction form
    9,309.54/12,846.84 = 5,117.76/x
  3. Step 3: Cross multiply
    9,309.54x = 12,846.84 × 5,117.76
  4. Step 4: Simplify right side
    9,309.54x = 65,747,043.88
  5. Step 5: Solve for x
    x = 65,747,043.88/9,309.54
  6. Step 6: Final answer
    x = 7,062.33

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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.