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Finding the Fourth Proportional to 9,704.72, 14,560.15 and 3,464.59

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Solution

The fourth proportional to 9,704.72, 14,560.15 and 3,464.59 is: 5,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.72 : 14,560.15 = 3,464.59 : x
  2. Step 2: Convert to fraction form
    9,704.72/14,560.15 = 3,464.59/x
  3. Step 3: Cross multiply
    9,704.72x = 14,560.15 × 3,464.59
  4. Step 4: Simplify right side
    9,704.72x = 50,444,932.77
  5. Step 5: Solve for x
    x = 50,444,932.77/9,704.72
  6. Step 6: Final answer
    x = 5,197.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.