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Finding the Fourth Proportional to 9,953.41, 13,735.80 and 5,704.37

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Solution

The fourth proportional to 9,953.41, 13,735.80 and 5,704.37 is: 7,872.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.41 : 13,735.80 = 5,704.37 : x
  2. Step 2: Convert to fraction form
    9,953.41/13,735.80 = 5,704.37/x
  3. Step 3: Cross multiply
    9,953.41x = 13,735.80 × 5,704.37
  4. Step 4: Simplify right side
    9,953.41x = 78,354,085.45
  5. Step 5: Solve for x
    x = 78,354,085.45/9,953.41
  6. Step 6: Final answer
    x = 7,872.09

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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.