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Finding the Fourth Proportional to 9,408.48, 12,983.50 and 5,429.32

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Solution

The fourth proportional to 9,408.48, 12,983.50 and 5,429.32 is: 7,492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.48 : 12,983.50 = 5,429.32 : x
  2. Step 2: Convert to fraction form
    9,408.48/12,983.50 = 5,429.32/x
  3. Step 3: Cross multiply
    9,408.48x = 12,983.50 × 5,429.32
  4. Step 4: Simplify right side
    9,408.48x = 70,491,576.22
  5. Step 5: Solve for x
    x = 70,491,576.22/9,408.48
  6. Step 6: Final answer
    x = 7,492.34

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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.