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Finding the Fourth Proportional to 9,437.89, 14,156 and 3,197.76

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Solution

The fourth proportional to 9,437.89, 14,156 and 3,197.76 is: 4,796.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.89 : 14,156 = 3,197.76 : x
  2. Step 2: Convert to fraction form
    9,437.89/14,156 = 3,197.76/x
  3. Step 3: Cross multiply
    9,437.89x = 14,156 × 3,197.76
  4. Step 4: Simplify right side
    9,437.89x = 45,267,490.56
  5. Step 5: Solve for x
    x = 45,267,490.56/9,437.89
  6. Step 6: Final answer
    x = 4,796.36

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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.