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Finding the Fourth Proportional to 9,761.75, 14,650.15 and 5,082.94

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Solution

The fourth proportional to 9,761.75, 14,650.15 and 5,082.94 is: 7,628.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.75 : 14,650.15 = 5,082.94 : x
  2. Step 2: Convert to fraction form
    9,761.75/14,650.15 = 5,082.94/x
  3. Step 3: Cross multiply
    9,761.75x = 14,650.15 × 5,082.94
  4. Step 4: Simplify right side
    9,761.75x = 74,465,784.11
  5. Step 5: Solve for x
    x = 74,465,784.11/9,761.75
  6. Step 6: Final answer
    x = 7,628.32

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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.