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Finding the Fourth Proportional to 9,258.96, 13,859.28 and 6,342.96

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Solution

The fourth proportional to 9,258.96, 13,859.28 and 6,342.96 is: 9,494.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.96 : 13,859.28 = 6,342.96 : x
  2. Step 2: Convert to fraction form
    9,258.96/13,859.28 = 6,342.96/x
  3. Step 3: Cross multiply
    9,258.96x = 13,859.28 × 6,342.96
  4. Step 4: Simplify right side
    9,258.96x = 87,908,858.67
  5. Step 5: Solve for x
    x = 87,908,858.67/9,258.96
  6. Step 6: Final answer
    x = 9,494.46

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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.