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Finding the Fourth Proportional to 6,375.52, 9,554.64 and 3,082.06

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Solution

The fourth proportional to 6,375.52, 9,554.64 and 3,082.06 is: 4,618.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.52 : 9,554.64 = 3,082.06 : x
  2. Step 2: Convert to fraction form
    6,375.52/9,554.64 = 3,082.06/x
  3. Step 3: Cross multiply
    6,375.52x = 9,554.64 × 3,082.06
  4. Step 4: Simplify right side
    6,375.52x = 29,447,973.76
  5. Step 5: Solve for x
    x = 29,447,973.76/6,375.52
  6. Step 6: Final answer
    x = 4,618.91

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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.