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Finding the Fourth Proportional to 9,257.28, 13,885.92 and 4,063.20

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Solution

The fourth proportional to 9,257.28, 13,885.92 and 4,063.20 is: 6,094.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.28 : 13,885.92 = 4,063.20 : x
  2. Step 2: Convert to fraction form
    9,257.28/13,885.92 = 4,063.20/x
  3. Step 3: Cross multiply
    9,257.28x = 13,885.92 × 4,063.20
  4. Step 4: Simplify right side
    9,257.28x = 56,421,270.14
  5. Step 5: Solve for x
    x = 56,421,270.14/9,257.28
  6. Step 6: Final answer
    x = 6,094.80

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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.