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Finding the Fourth Proportional to 9,597.96, 14,393.70 and 3,753

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Solution

The fourth proportional to 9,597.96, 14,393.70 and 3,753 is: 5,628.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.96 : 14,393.70 = 3,753 : x
  2. Step 2: Convert to fraction form
    9,597.96/14,393.70 = 3,753/x
  3. Step 3: Cross multiply
    9,597.96x = 14,393.70 × 3,753
  4. Step 4: Simplify right side
    9,597.96x = 54,019,556.10
  5. Step 5: Solve for x
    x = 54,019,556.10/9,597.96
  6. Step 6: Final answer
    x = 5,628.23

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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.