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Finding the Fourth Proportional to 9,563.80, 14,346.33 and 2,543.71

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Solution

The fourth proportional to 9,563.80, 14,346.33 and 2,543.71 is: 3,815.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.80 : 14,346.33 = 2,543.71 : x
  2. Step 2: Convert to fraction form
    9,563.80/14,346.33 = 2,543.71/x
  3. Step 3: Cross multiply
    9,563.80x = 14,346.33 × 2,543.71
  4. Step 4: Simplify right side
    9,563.80x = 36,492,903.08
  5. Step 5: Solve for x
    x = 36,492,903.08/9,563.80
  6. Step 6: Final answer
    x = 3,815.73

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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.