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Finding the Fourth Proportional to 9,771.23, 14,657.83 and 2,751.23

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Solution

The fourth proportional to 9,771.23, 14,657.83 and 2,751.23 is: 4,127.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.23 : 14,657.83 = 2,751.23 : x
  2. Step 2: Convert to fraction form
    9,771.23/14,657.83 = 2,751.23/x
  3. Step 3: Cross multiply
    9,771.23x = 14,657.83 × 2,751.23
  4. Step 4: Simplify right side
    9,771.23x = 40,327,091.40
  5. Step 5: Solve for x
    x = 40,327,091.40/9,771.23
  6. Step 6: Final answer
    x = 4,127.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.