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Finding the Fourth Proportional to 9,408.96, 14,108.58 and 4,212

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Solution

The fourth proportional to 9,408.96, 14,108.58 and 4,212 is: 6,315.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.96 : 14,108.58 = 4,212 : x
  2. Step 2: Convert to fraction form
    9,408.96/14,108.58 = 4,212/x
  3. Step 3: Cross multiply
    9,408.96x = 14,108.58 × 4,212
  4. Step 4: Simplify right side
    9,408.96x = 59,425,338.96
  5. Step 5: Solve for x
    x = 59,425,338.96/9,408.96
  6. Step 6: Final answer
    x = 6,315.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.