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Finding the Fourth Proportional to 9,491.10, 14,235.19 and 3,166.09

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Solution

The fourth proportional to 9,491.10, 14,235.19 and 3,166.09 is: 4,748.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.10 : 14,235.19 = 3,166.09 : x
  2. Step 2: Convert to fraction form
    9,491.10/14,235.19 = 3,166.09/x
  3. Step 3: Cross multiply
    9,491.10x = 14,235.19 × 3,166.09
  4. Step 4: Simplify right side
    9,491.10x = 45,069,884.79
  5. Step 5: Solve for x
    x = 45,069,884.79/9,491.10
  6. Step 6: Final answer
    x = 4,748.65

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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.