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Finding the Fourth Proportional to 7,954.80, 11,907.90 and 6,205.20

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Solution

The fourth proportional to 7,954.80, 11,907.90 and 6,205.20 is: 9,288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.80 : 11,907.90 = 6,205.20 : x
  2. Step 2: Convert to fraction form
    7,954.80/11,907.90 = 6,205.20/x
  3. Step 3: Cross multiply
    7,954.80x = 11,907.90 × 6,205.20
  4. Step 4: Simplify right side
    7,954.80x = 73,890,901.08
  5. Step 5: Solve for x
    x = 73,890,901.08/7,954.80
  6. Step 6: Final answer
    x = 9,288.84

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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.