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Finding the Fourth Proportional to 9,561.39, 14,342.71 and 2,541.30

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Solution

The fourth proportional to 9,561.39, 14,342.71 and 2,541.30 is: 3,812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.39 : 14,342.71 = 2,541.30 : x
  2. Step 2: Convert to fraction form
    9,561.39/14,342.71 = 2,541.30/x
  3. Step 3: Cross multiply
    9,561.39x = 14,342.71 × 2,541.30
  4. Step 4: Simplify right side
    9,561.39x = 36,449,128.92
  5. Step 5: Solve for x
    x = 36,449,128.92/9,561.39
  6. Step 6: Final answer
    x = 3,812.12

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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.