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Finding the Fourth Proportional to 7,012.45, 9,677.11 and 3,868.61

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Solution

The fourth proportional to 7,012.45, 9,677.11 and 3,868.61 is: 5,338.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.45 : 9,677.11 = 3,868.61 : x
  2. Step 2: Convert to fraction form
    7,012.45/9,677.11 = 3,868.61/x
  3. Step 3: Cross multiply
    7,012.45x = 9,677.11 × 3,868.61
  4. Step 4: Simplify right side
    7,012.45x = 37,436,945.17
  5. Step 5: Solve for x
    x = 37,436,945.17/7,012.45
  6. Step 6: Final answer
    x = 5,338.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.