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Finding the Fourth Proportional to 9,238.25, 12,748.08 and 5,258.82

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Solution

The fourth proportional to 9,238.25, 12,748.08 and 5,258.82 is: 7,256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.25 : 12,748.08 = 5,258.82 : x
  2. Step 2: Convert to fraction form
    9,238.25/12,748.08 = 5,258.82/x
  3. Step 3: Cross multiply
    9,238.25x = 12,748.08 × 5,258.82
  4. Step 4: Simplify right side
    9,238.25x = 67,039,925.59
  5. Step 5: Solve for x
    x = 67,039,925.59/9,238.25
  6. Step 6: Final answer
    x = 7,256.78

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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.