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Finding the Fourth Proportional to 9,764.72, 14,647.07 and 2,369.06

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Solution

The fourth proportional to 9,764.72, 14,647.07 and 2,369.06 is: 3,553.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.72 : 14,647.07 = 2,369.06 : x
  2. Step 2: Convert to fraction form
    9,764.72/14,647.07 = 2,369.06/x
  3. Step 3: Cross multiply
    9,764.72x = 14,647.07 × 2,369.06
  4. Step 4: Simplify right side
    9,764.72x = 34,699,720.34
  5. Step 5: Solve for x
    x = 34,699,720.34/9,764.72
  6. Step 6: Final answer
    x = 3,553.58

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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.