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Finding the Fourth Proportional to 9,437, 14,154.37 and 3,197

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Solution

The fourth proportional to 9,437, 14,154.37 and 3,197 is: 4,795.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437 : 14,154.37 = 3,197 : x
  2. Step 2: Convert to fraction form
    9,437/14,154.37 = 3,197/x
  3. Step 3: Cross multiply
    9,437x = 14,154.37 × 3,197
  4. Step 4: Simplify right side
    9,437x = 45,251,520.89
  5. Step 5: Solve for x
    x = 45,251,520.89/9,437
  6. Step 6: Final answer
    x = 4,795.12

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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.