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Finding the Fourth Proportional to 9,238.41, 12,745.82 and 5,258.51

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Solution

The fourth proportional to 9,238.41, 12,745.82 and 5,258.51 is: 7,254.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.41 : 12,745.82 = 5,258.51 : x
  2. Step 2: Convert to fraction form
    9,238.41/12,745.82 = 5,258.51/x
  3. Step 3: Cross multiply
    9,238.41x = 12,745.82 × 5,258.51
  4. Step 4: Simplify right side
    9,238.41x = 67,024,021.93
  5. Step 5: Solve for x
    x = 67,024,021.93/9,238.41
  6. Step 6: Final answer
    x = 7,254.93

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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.