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Finding the Fourth Proportional to 9,254.66, 13,858.44 and 6,125.27

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Solution

The fourth proportional to 9,254.66, 13,858.44 and 6,125.27 is: 9,172.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.66 : 13,858.44 = 6,125.27 : x
  2. Step 2: Convert to fraction form
    9,254.66/13,858.44 = 6,125.27/x
  3. Step 3: Cross multiply
    9,254.66x = 13,858.44 × 6,125.27
  4. Step 4: Simplify right side
    9,254.66x = 84,886,706.93
  5. Step 5: Solve for x
    x = 84,886,706.93/9,254.66
  6. Step 6: Final answer
    x = 9,172.33

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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.