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Finding the Fourth Proportional to 9,146.64, 13,704.96 and 3,877.44

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Solution

The fourth proportional to 9,146.64, 13,704.96 and 3,877.44 is: 5,809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.64 : 13,704.96 = 3,877.44 : x
  2. Step 2: Convert to fraction form
    9,146.64/13,704.96 = 3,877.44/x
  3. Step 3: Cross multiply
    9,146.64x = 13,704.96 × 3,877.44
  4. Step 4: Simplify right side
    9,146.64x = 53,140,160.10
  5. Step 5: Solve for x
    x = 53,140,160.10/9,146.64
  6. Step 6: Final answer
    x = 5,809.80

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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.