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Finding the Fourth Proportional to 9,258.37, 12,782.51 and 8,261.94

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Solution

The fourth proportional to 9,258.37, 12,782.51 and 8,261.94 is: 11,406.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.37 : 12,782.51 = 8,261.94 : x
  2. Step 2: Convert to fraction form
    9,258.37/12,782.51 = 8,261.94/x
  3. Step 3: Cross multiply
    9,258.37x = 12,782.51 × 8,261.94
  4. Step 4: Simplify right side
    9,258.37x = 105,608,266.76
  5. Step 5: Solve for x
    x = 105,608,266.76/9,258.37
  6. Step 6: Final answer
    x = 11,406.79

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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.