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Finding the Fourth Proportional to 9,254.54, 13,884.10 and 2,681.39

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Solution

The fourth proportional to 9,254.54, 13,884.10 and 2,681.39 is: 4,022.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.54 : 13,884.10 = 2,681.39 : x
  2. Step 2: Convert to fraction form
    9,254.54/13,884.10 = 2,681.39/x
  3. Step 3: Cross multiply
    9,254.54x = 13,884.10 × 2,681.39
  4. Step 4: Simplify right side
    9,254.54x = 37,228,714.91
  5. Step 5: Solve for x
    x = 37,228,714.91/9,254.54
  6. Step 6: Final answer
    x = 4,022.75

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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.