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Finding the Fourth Proportional to 9,144.56, 13,711.71 and 2,903.41

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Solution

The fourth proportional to 9,144.56, 13,711.71 and 2,903.41 is: 4,353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.56 : 13,711.71 = 2,903.41 : x
  2. Step 2: Convert to fraction form
    9,144.56/13,711.71 = 2,903.41/x
  3. Step 3: Cross multiply
    9,144.56x = 13,711.71 × 2,903.41
  4. Step 4: Simplify right side
    9,144.56x = 39,810,715.93
  5. Step 5: Solve for x
    x = 39,810,715.93/9,144.56
  6. Step 6: Final answer
    x = 4,353.49

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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.