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Finding the Fourth Proportional to 9,597.88, 14,401 and 3,362.37

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Solution

The fourth proportional to 9,597.88, 14,401 and 3,362.37 is: 5,045.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.88 : 14,401 = 3,362.37 : x
  2. Step 2: Convert to fraction form
    9,597.88/14,401 = 3,362.37/x
  3. Step 3: Cross multiply
    9,597.88x = 14,401 × 3,362.37
  4. Step 4: Simplify right side
    9,597.88x = 48,421,418.37
  5. Step 5: Solve for x
    x = 48,421,418.37/9,597.88
  6. Step 6: Final answer
    x = 5,045.01

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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.