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Finding the Fourth Proportional to 9,697.70, 14,537.27 and 3,119.25

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Solution

The fourth proportional to 9,697.70, 14,537.27 and 3,119.25 is: 4,675.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.70 : 14,537.27 = 3,119.25 : x
  2. Step 2: Convert to fraction form
    9,697.70/14,537.27 = 3,119.25/x
  3. Step 3: Cross multiply
    9,697.70x = 14,537.27 × 3,119.25
  4. Step 4: Simplify right side
    9,697.70x = 45,345,363.85
  5. Step 5: Solve for x
    x = 45,345,363.85/9,697.70
  6. Step 6: Final answer
    x = 4,675.89

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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.