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Finding the Fourth Proportional to 9,254.41, 13,881.61 and 3,098.41

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Solution

The fourth proportional to 9,254.41, 13,881.61 and 3,098.41 is: 4,647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.41 : 13,881.61 = 3,098.41 : x
  2. Step 2: Convert to fraction form
    9,254.41/13,881.61 = 3,098.41/x
  3. Step 3: Cross multiply
    9,254.41x = 13,881.61 × 3,098.41
  4. Step 4: Simplify right side
    9,254.41x = 43,010,919.24
  5. Step 5: Solve for x
    x = 43,010,919.24/9,254.41
  6. Step 6: Final answer
    x = 4,647.61

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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.