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Finding the Fourth Proportional to 9,257.40, 13,886.10 and 8,200.35

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Solution

The fourth proportional to 9,257.40, 13,886.10 and 8,200.35 is: 12,300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.40 : 13,886.10 = 8,200.35 : x
  2. Step 2: Convert to fraction form
    9,257.40/13,886.10 = 8,200.35/x
  3. Step 3: Cross multiply
    9,257.40x = 13,886.10 × 8,200.35
  4. Step 4: Simplify right side
    9,257.40x = 113,870,880.14
  5. Step 5: Solve for x
    x = 113,870,880.14/9,257.40
  6. Step 6: Final answer
    x = 12,300.53

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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.