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Finding the Fourth Proportional to 9,704.54, 14,559.50 and 3,865.26

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Solution

The fourth proportional to 9,704.54, 14,559.50 and 3,865.26 is: 5,798.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.54 : 14,559.50 = 3,865.26 : x
  2. Step 2: Convert to fraction form
    9,704.54/14,559.50 = 3,865.26/x
  3. Step 3: Cross multiply
    9,704.54x = 14,559.50 × 3,865.26
  4. Step 4: Simplify right side
    9,704.54x = 56,276,252.97
  5. Step 5: Solve for x
    x = 56,276,252.97/9,704.54
  6. Step 6: Final answer
    x = 5,798.96

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Why These Related Problems?

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