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Finding the Fourth Proportional to 9,771.57, 14,622.75 and 6,075.54

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Solution

The fourth proportional to 9,771.57, 14,622.75 and 6,075.54 is: 9,091.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.57 : 14,622.75 = 6,075.54 : x
  2. Step 2: Convert to fraction form
    9,771.57/14,622.75 = 6,075.54/x
  3. Step 3: Cross multiply
    9,771.57x = 14,622.75 × 6,075.54
  4. Step 4: Simplify right side
    9,771.57x = 88,841,102.54
  5. Step 5: Solve for x
    x = 88,841,102.54/9,771.57
  6. Step 6: Final answer
    x = 9,091.79

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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.