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Finding the Fourth Proportional to 9,208.20, 13,812.30 and 5,309.40

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Solution

The fourth proportional to 9,208.20, 13,812.30 and 5,309.40 is: 7,964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.20 : 13,812.30 = 5,309.40 : x
  2. Step 2: Convert to fraction form
    9,208.20/13,812.30 = 5,309.40/x
  3. Step 3: Cross multiply
    9,208.20x = 13,812.30 × 5,309.40
  4. Step 4: Simplify right side
    9,208.20x = 73,335,025.62
  5. Step 5: Solve for x
    x = 73,335,025.62/9,208.20
  6. Step 6: Final answer
    x = 7,964.10

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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.