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Finding the Fourth Proportional to 9,258.23, 13,871.15 and 7,708.20

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Solution

The fourth proportional to 9,258.23, 13,871.15 and 7,708.20 is: 11,548.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.23 : 13,871.15 = 7,708.20 : x
  2. Step 2: Convert to fraction form
    9,258.23/13,871.15 = 7,708.20/x
  3. Step 3: Cross multiply
    9,258.23x = 13,871.15 × 7,708.20
  4. Step 4: Simplify right side
    9,258.23x = 106,921,536.78
  5. Step 5: Solve for x
    x = 106,921,536.78/9,258.23
  6. Step 6: Final answer
    x = 11,548.81

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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.