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Finding the Fourth Proportional to 9,771.51, 14,651.50 and 4,764.09

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Solution

The fourth proportional to 9,771.51, 14,651.50 and 4,764.09 is: 7,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.51 : 14,651.50 = 4,764.09 : x
  2. Step 2: Convert to fraction form
    9,771.51/14,651.50 = 4,764.09/x
  3. Step 3: Cross multiply
    9,771.51x = 14,651.50 × 4,764.09
  4. Step 4: Simplify right side
    9,771.51x = 69,801,064.64
  5. Step 5: Solve for x
    x = 69,801,064.64/9,771.51
  6. Step 6: Final answer
    x = 7,143.32

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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.