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Finding the Fourth Proportional to 9,142.56, 13,708.71 and 2,901.41

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Solution

The fourth proportional to 9,142.56, 13,708.71 and 2,901.41 is: 4,350.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.56 : 13,708.71 = 2,901.41 : x
  2. Step 2: Convert to fraction form
    9,142.56/13,708.71 = 2,901.41/x
  3. Step 3: Cross multiply
    9,142.56x = 13,708.71 × 2,901.41
  4. Step 4: Simplify right side
    9,142.56x = 39,774,571.15
  5. Step 5: Solve for x
    x = 39,774,571.15/9,142.56
  6. Step 6: Final answer
    x = 4,350.49

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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.