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Finding the Fourth Proportional to 9,236.16, 12,745.80 and 5,257.08

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Solution

The fourth proportional to 9,236.16, 12,745.80 and 5,257.08 is: 7,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.16 : 12,745.80 = 5,257.08 : x
  2. Step 2: Convert to fraction form
    9,236.16/12,745.80 = 5,257.08/x
  3. Step 3: Cross multiply
    9,236.16x = 12,745.80 × 5,257.08
  4. Step 4: Simplify right side
    9,236.16x = 67,005,690.26
  5. Step 5: Solve for x
    x = 67,005,690.26/9,236.16
  6. Step 6: Final answer
    x = 7,254.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.