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Finding the Fourth Proportional to 9,408.66, 12,983.96 and 5,216.91

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Solution

The fourth proportional to 9,408.66, 12,983.96 and 5,216.91 is: 7,199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.66 : 12,983.96 = 5,216.91 : x
  2. Step 2: Convert to fraction form
    9,408.66/12,983.96 = 5,216.91/x
  3. Step 3: Cross multiply
    9,408.66x = 12,983.96 × 5,216.91
  4. Step 4: Simplify right side
    9,408.66x = 67,736,115.12
  5. Step 5: Solve for x
    x = 67,736,115.12/9,408.66
  6. Step 6: Final answer
    x = 7,199.34

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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.