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Finding the Fourth Proportional to 9,207.80, 13,811.70 and 5,271.20

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Solution

The fourth proportional to 9,207.80, 13,811.70 and 5,271.20 is: 7,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.80 : 13,811.70 = 5,271.20 : x
  2. Step 2: Convert to fraction form
    9,207.80/13,811.70 = 5,271.20/x
  3. Step 3: Cross multiply
    9,207.80x = 13,811.70 × 5,271.20
  4. Step 4: Simplify right side
    9,207.80x = 72,804,233.04
  5. Step 5: Solve for x
    x = 72,804,233.04/9,207.80
  6. Step 6: Final answer
    x = 7,906.80

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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.