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Finding the Fourth Proportional to 9,258.12, 12,782.17 and 8,261.68

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Solution

The fourth proportional to 9,258.12, 12,782.17 and 8,261.68 is: 11,406.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.12 : 12,782.17 = 8,261.68 : x
  2. Step 2: Convert to fraction form
    9,258.12/12,782.17 = 8,261.68/x
  3. Step 3: Cross multiply
    9,258.12x = 12,782.17 × 8,261.68
  4. Step 4: Simplify right side
    9,258.12x = 105,602,188.89
  5. Step 5: Solve for x
    x = 105,602,188.89/9,258.12
  6. Step 6: Final answer
    x = 11,406.44

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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.