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Finding the Fourth Proportional to 9,318.76, 13,973.32 and 2,744.10

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Solution

The fourth proportional to 9,318.76, 13,973.32 and 2,744.10 is: 4,114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.76 : 13,973.32 = 2,744.10 : x
  2. Step 2: Convert to fraction form
    9,318.76/13,973.32 = 2,744.10/x
  3. Step 3: Cross multiply
    9,318.76x = 13,973.32 × 2,744.10
  4. Step 4: Simplify right side
    9,318.76x = 38,344,187.41
  5. Step 5: Solve for x
    x = 38,344,187.41/9,318.76
  6. Step 6: Final answer
    x = 4,114.73

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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.