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Finding the Fourth Proportional to 9,408.28, 12,988.74 and 6,428.44

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Solution

The fourth proportional to 9,408.28, 12,988.74 and 6,428.44 is: 8,874.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.28 : 12,988.74 = 6,428.44 : x
  2. Step 2: Convert to fraction form
    9,408.28/12,988.74 = 6,428.44/x
  3. Step 3: Cross multiply
    9,408.28x = 12,988.74 × 6,428.44
  4. Step 4: Simplify right side
    9,408.28x = 83,497,335.77
  5. Step 5: Solve for x
    x = 83,497,335.77/9,408.28
  6. Step 6: Final answer
    x = 8,874.88

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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.