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Finding the Fourth Proportional to 9,953.73, 13,738.23 and 5,705.46

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Solution

The fourth proportional to 9,953.73, 13,738.23 and 5,705.46 is: 7,874.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.73 : 13,738.23 = 5,705.46 : x
  2. Step 2: Convert to fraction form
    9,953.73/13,738.23 = 5,705.46/x
  3. Step 3: Cross multiply
    9,953.73x = 13,738.23 × 5,705.46
  4. Step 4: Simplify right side
    9,953.73x = 78,382,921.74
  5. Step 5: Solve for x
    x = 78,382,921.74/9,953.73
  6. Step 6: Final answer
    x = 7,874.73

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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.