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Finding the Fourth Proportional to 9,380.80, 12,946.36 and 5,189.84

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Solution

The fourth proportional to 9,380.80, 12,946.36 and 5,189.84 is: 7,162.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.80 : 12,946.36 = 5,189.84 : x
  2. Step 2: Convert to fraction form
    9,380.80/12,946.36 = 5,189.84/x
  3. Step 3: Cross multiply
    9,380.80x = 12,946.36 × 5,189.84
  4. Step 4: Simplify right side
    9,380.80x = 67,189,536.98
  5. Step 5: Solve for x
    x = 67,189,536.98/9,380.80
  6. Step 6: Final answer
    x = 7,162.45

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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.