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Finding the Fourth Proportional to 9,696.41, 14,541.03 and 3,454.77

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Solution

The fourth proportional to 9,696.41, 14,541.03 and 3,454.77 is: 5,180.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.41 : 14,541.03 = 3,454.77 : x
  2. Step 2: Convert to fraction form
    9,696.41/14,541.03 = 3,454.77/x
  3. Step 3: Cross multiply
    9,696.41x = 14,541.03 × 3,454.77
  4. Step 4: Simplify right side
    9,696.41x = 50,235,914.21
  5. Step 5: Solve for x
    x = 50,235,914.21/9,696.41
  6. Step 6: Final answer
    x = 5,180.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.