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Finding the Fourth Proportional to 9,254.90, 13,884.78 and 3,411.56

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Solution

The fourth proportional to 9,254.90, 13,884.78 and 3,411.56 is: 5,118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.90 : 13,884.78 = 3,411.56 : x
  2. Step 2: Convert to fraction form
    9,254.90/13,884.78 = 3,411.56/x
  3. Step 3: Cross multiply
    9,254.90x = 13,884.78 × 3,411.56
  4. Step 4: Simplify right side
    9,254.90x = 47,368,760.06
  5. Step 5: Solve for x
    x = 47,368,760.06/9,254.90
  6. Step 6: Final answer
    x = 5,118.24

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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.