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Finding the Fourth Proportional to 9,503.50, 14,247.56 and 3,961.02

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Solution

The fourth proportional to 9,503.50, 14,247.56 and 3,961.02 is: 5,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.50 : 14,247.56 = 3,961.02 : x
  2. Step 2: Convert to fraction form
    9,503.50/14,247.56 = 3,961.02/x
  3. Step 3: Cross multiply
    9,503.50x = 14,247.56 × 3,961.02
  4. Step 4: Simplify right side
    9,503.50x = 56,434,870.11
  5. Step 5: Solve for x
    x = 56,434,870.11/9,503.50
  6. Step 6: Final answer
    x = 5,938.32

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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.