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Finding the Fourth Proportional to 9,300.57, 13,938.51 and 6,823.80

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Solution

The fourth proportional to 9,300.57, 13,938.51 and 6,823.80 is: 10,226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.57 : 13,938.51 = 6,823.80 : x
  2. Step 2: Convert to fraction form
    9,300.57/13,938.51 = 6,823.80/x
  3. Step 3: Cross multiply
    9,300.57x = 13,938.51 × 6,823.80
  4. Step 4: Simplify right side
    9,300.57x = 95,113,604.54
  5. Step 5: Solve for x
    x = 95,113,604.54/9,300.57
  6. Step 6: Final answer
    x = 10,226.64

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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.