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Finding the Fourth Proportional to 9,258.04, 13,886.94 and 2,238

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Solution

The fourth proportional to 9,258.04, 13,886.94 and 2,238 is: 3,356.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.04 : 13,886.94 = 2,238 : x
  2. Step 2: Convert to fraction form
    9,258.04/13,886.94 = 2,238/x
  3. Step 3: Cross multiply
    9,258.04x = 13,886.94 × 2,238
  4. Step 4: Simplify right side
    9,258.04x = 31,078,971.72
  5. Step 5: Solve for x
    x = 31,078,971.72/9,258.04
  6. Step 6: Final answer
    x = 3,356.97

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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.