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Finding the Fourth Proportional to 9,591.77, 14,391.10 and 3,353.50

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Solution

The fourth proportional to 9,591.77, 14,391.10 and 3,353.50 is: 5,031.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.77 : 14,391.10 = 3,353.50 : x
  2. Step 2: Convert to fraction form
    9,591.77/14,391.10 = 3,353.50/x
  3. Step 3: Cross multiply
    9,591.77x = 14,391.10 × 3,353.50
  4. Step 4: Simplify right side
    9,591.77x = 48,260,576.03
  5. Step 5: Solve for x
    x = 48,260,576.03/9,591.77
  6. Step 6: Final answer
    x = 5,031.46

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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.