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Finding the Fourth Proportional to 9,971.95, 14,958.27 and 3,397.27

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Solution

The fourth proportional to 9,971.95, 14,958.27 and 3,397.27 is: 5,096.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.95 : 14,958.27 = 3,397.27 : x
  2. Step 2: Convert to fraction form
    9,971.95/14,958.27 = 3,397.27/x
  3. Step 3: Cross multiply
    9,971.95x = 14,958.27 × 3,397.27
  4. Step 4: Simplify right side
    9,971.95x = 50,817,281.92
  5. Step 5: Solve for x
    x = 50,817,281.92/9,971.95
  6. Step 6: Final answer
    x = 5,096.02

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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.