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Finding the Fourth Proportional to 9,704.14, 13,393.13 and 5,455.55

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Solution

The fourth proportional to 9,704.14, 13,393.13 and 5,455.55 is: 7,529.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.14 : 13,393.13 = 5,455.55 : x
  2. Step 2: Convert to fraction form
    9,704.14/13,393.13 = 5,455.55/x
  3. Step 3: Cross multiply
    9,704.14x = 13,393.13 × 5,455.55
  4. Step 4: Simplify right side
    9,704.14x = 73,066,846.35
  5. Step 5: Solve for x
    x = 73,066,846.35/9,704.14
  6. Step 6: Final answer
    x = 7,529.45

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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.