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Finding the Fourth Proportional to 9,258.90, 12,778.29 and 5,904.78

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Solution

The fourth proportional to 9,258.90, 12,778.29 and 5,904.78 is: 8,149.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.90 : 12,778.29 = 5,904.78 : x
  2. Step 2: Convert to fraction form
    9,258.90/12,778.29 = 5,904.78/x
  3. Step 3: Cross multiply
    9,258.90x = 12,778.29 × 5,904.78
  4. Step 4: Simplify right side
    9,258.90x = 75,452,991.23
  5. Step 5: Solve for x
    x = 75,452,991.23/9,258.90
  6. Step 6: Final answer
    x = 8,149.24

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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.