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Finding the Fourth Proportional to 9,453.71, 14,186.30 and 3,534.90

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Solution

The fourth proportional to 9,453.71, 14,186.30 and 3,534.90 is: 5,304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.71 : 14,186.30 = 3,534.90 : x
  2. Step 2: Convert to fraction form
    9,453.71/14,186.30 = 3,534.90/x
  3. Step 3: Cross multiply
    9,453.71x = 14,186.30 × 3,534.90
  4. Step 4: Simplify right side
    9,453.71x = 50,147,151.87
  5. Step 5: Solve for x
    x = 50,147,151.87/9,453.71
  6. Step 6: Final answer
    x = 5,304.49

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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.