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Finding the Fourth Proportional to 9,367.40, 12,927.86 and 5,177

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Solution

The fourth proportional to 9,367.40, 12,927.86 and 5,177 is: 7,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.40 : 12,927.86 = 5,177 : x
  2. Step 2: Convert to fraction form
    9,367.40/12,927.86 = 5,177/x
  3. Step 3: Cross multiply
    9,367.40x = 12,927.86 × 5,177
  4. Step 4: Simplify right side
    9,367.40x = 66,927,531.22
  5. Step 5: Solve for x
    x = 66,927,531.22/9,367.40
  6. Step 6: Final answer
    x = 7,144.73

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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.