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Finding the Fourth Proportional to 9,230.41, 13,812.80 and 6,759.10

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Solution

The fourth proportional to 9,230.41, 13,812.80 and 6,759.10 is: 10,114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.41 : 13,812.80 = 6,759.10 : x
  2. Step 2: Convert to fraction form
    9,230.41/13,812.80 = 6,759.10/x
  3. Step 3: Cross multiply
    9,230.41x = 13,812.80 × 6,759.10
  4. Step 4: Simplify right side
    9,230.41x = 93,362,059.28
  5. Step 5: Solve for x
    x = 93,362,059.28/9,230.41
  6. Step 6: Final answer
    x = 10,114.62

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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.