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Finding the Fourth Proportional to 9,747.03, 14,622.53 and 3,171.45

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Solution

The fourth proportional to 9,747.03, 14,622.53 and 3,171.45 is: 4,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.03 : 14,622.53 = 3,171.45 : x
  2. Step 2: Convert to fraction form
    9,747.03/14,622.53 = 3,171.45/x
  3. Step 3: Cross multiply
    9,747.03x = 14,622.53 × 3,171.45
  4. Step 4: Simplify right side
    9,747.03x = 46,374,661.75
  5. Step 5: Solve for x
    x = 46,374,661.75/9,747.03
  6. Step 6: Final answer
    x = 4,757.82

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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.