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Finding the Fourth Proportional to 9,418.41, 12,984.71 and 7,819.34

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Solution

The fourth proportional to 9,418.41, 12,984.71 and 7,819.34 is: 10,780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,418.41 : 12,984.71 = 7,819.34 : x
  2. Step 2: Convert to fraction form
    9,418.41/12,984.71 = 7,819.34/x
  3. Step 3: Cross multiply
    9,418.41x = 12,984.71 × 7,819.34
  4. Step 4: Simplify right side
    9,418.41x = 101,531,758.27
  5. Step 5: Solve for x
    x = 101,531,758.27/9,418.41
  6. Step 6: Final answer
    x = 10,780.14

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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.