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Finding the Fourth Proportional to 9,200.55, 13,808.03 and 4,270.80

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Solution

The fourth proportional to 9,200.55, 13,808.03 and 4,270.80 is: 6,409.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.55 : 13,808.03 = 4,270.80 : x
  2. Step 2: Convert to fraction form
    9,200.55/13,808.03 = 4,270.80/x
  3. Step 3: Cross multiply
    9,200.55x = 13,808.03 × 4,270.80
  4. Step 4: Simplify right side
    9,200.55x = 58,971,313.17
  5. Step 5: Solve for x
    x = 58,971,313.17/9,200.55
  6. Step 6: Final answer
    x = 6,409.54

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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.