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Finding the Fourth Proportional to 9,408.72, 12,984.12 and 5,216.88

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Solution

The fourth proportional to 9,408.72, 12,984.12 and 5,216.88 is: 7,199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.72 : 12,984.12 = 5,216.88 : x
  2. Step 2: Convert to fraction form
    9,408.72/12,984.12 = 5,216.88/x
  3. Step 3: Cross multiply
    9,408.72x = 12,984.12 × 5,216.88
  4. Step 4: Simplify right side
    9,408.72x = 67,736,595.95
  5. Step 5: Solve for x
    x = 67,736,595.95/9,408.72
  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.