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Finding the Fourth Proportional to 9,408.66, 14,107.94 and 3,166.59

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Solution

The fourth proportional to 9,408.66, 14,107.94 and 3,166.59 is: 4,748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.66 : 14,107.94 = 3,166.59 : x
  2. Step 2: Convert to fraction form
    9,408.66/14,107.94 = 3,166.59/x
  3. Step 3: Cross multiply
    9,408.66x = 14,107.94 × 3,166.59
  4. Step 4: Simplify right side
    9,408.66x = 44,674,061.72
  5. Step 5: Solve for x
    x = 44,674,061.72/9,408.66
  6. Step 6: Final answer
    x = 4,748.19

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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.