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Finding the Fourth Proportional to 9,106.78, 12,548.88 and 6,982.36

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Solution

The fourth proportional to 9,106.78, 12,548.88 and 6,982.36 is: 9,621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.78 : 12,548.88 = 6,982.36 : x
  2. Step 2: Convert to fraction form
    9,106.78/12,548.88 = 6,982.36/x
  3. Step 3: Cross multiply
    9,106.78x = 12,548.88 × 6,982.36
  4. Step 4: Simplify right side
    9,106.78x = 87,620,797.76
  5. Step 5: Solve for x
    x = 87,620,797.76/9,106.78
  6. Step 6: Final answer
    x = 9,621.49

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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.