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Finding the Fourth Proportional to 6,431.20, 9,610.75 and 6,075.81

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Solution

The fourth proportional to 6,431.20, 9,610.75 and 6,075.81 is: 9,079.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.20 : 9,610.75 = 6,075.81 : x
  2. Step 2: Convert to fraction form
    6,431.20/9,610.75 = 6,075.81/x
  3. Step 3: Cross multiply
    6,431.20x = 9,610.75 × 6,075.81
  4. Step 4: Simplify right side
    6,431.20x = 58,393,098.55
  5. Step 5: Solve for x
    x = 58,393,098.55/6,431.20
  6. Step 6: Final answer
    x = 9,079.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.