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Finding the Fourth Proportional to 9,583.50, 14,370.93 and 3,739.98

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Solution

The fourth proportional to 9,583.50, 14,370.93 and 3,739.98 is: 5,608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.50 : 14,370.93 = 3,739.98 : x
  2. Step 2: Convert to fraction form
    9,583.50/14,370.93 = 3,739.98/x
  3. Step 3: Cross multiply
    9,583.50x = 14,370.93 × 3,739.98
  4. Step 4: Simplify right side
    9,583.50x = 53,746,990.78
  5. Step 5: Solve for x
    x = 53,746,990.78/9,583.50
  6. Step 6: Final answer
    x = 5,608.28

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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.