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Finding the Fourth Proportional to 9,257.20, 13,864.20 and 9,071.60

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Solution

The fourth proportional to 9,257.20, 13,864.20 and 9,071.60 is: 13,586.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.20 : 13,864.20 = 9,071.60 : x
  2. Step 2: Convert to fraction form
    9,257.20/13,864.20 = 9,071.60/x
  3. Step 3: Cross multiply
    9,257.20x = 13,864.20 × 9,071.60
  4. Step 4: Simplify right side
    9,257.20x = 125,770,476.72
  5. Step 5: Solve for x
    x = 125,770,476.72/9,257.20
  6. Step 6: Final answer
    x = 13,586.23

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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.