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Finding the Fourth Proportional to 9,419.67, 14,129.64 and 2,845.91

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Solution

The fourth proportional to 9,419.67, 14,129.64 and 2,845.91 is: 4,268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.67 : 14,129.64 = 2,845.91 : x
  2. Step 2: Convert to fraction form
    9,419.67/14,129.64 = 2,845.91/x
  3. Step 3: Cross multiply
    9,419.67x = 14,129.64 × 2,845.91
  4. Step 4: Simplify right side
    9,419.67x = 40,211,719.10
  5. Step 5: Solve for x
    x = 40,211,719.10/9,419.67
  6. Step 6: Final answer
    x = 4,268.91

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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.