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Finding the Fourth Proportional to 9,739.70, 14,616.02 and 3,583.70

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Solution

The fourth proportional to 9,739.70, 14,616.02 and 3,583.70 is: 5,377.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.70 : 14,616.02 = 3,583.70 : x
  2. Step 2: Convert to fraction form
    9,739.70/14,616.02 = 3,583.70/x
  3. Step 3: Cross multiply
    9,739.70x = 14,616.02 × 3,583.70
  4. Step 4: Simplify right side
    9,739.70x = 52,379,430.87
  5. Step 5: Solve for x
    x = 52,379,430.87/9,739.70
  6. Step 6: Final answer
    x = 5,377.93

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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.