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Finding the Fourth Proportional to 9,969.68, 14,954.42 and 2,574.05

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Solution

The fourth proportional to 9,969.68, 14,954.42 and 2,574.05 is: 3,861.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.68 : 14,954.42 = 2,574.05 : x
  2. Step 2: Convert to fraction form
    9,969.68/14,954.42 = 2,574.05/x
  3. Step 3: Cross multiply
    9,969.68x = 14,954.42 × 2,574.05
  4. Step 4: Simplify right side
    9,969.68x = 38,493,356.46
  5. Step 5: Solve for x
    x = 38,493,356.46/9,969.68
  6. Step 6: Final answer
    x = 3,861.04

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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.