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Finding the Fourth Proportional to 9,488.67, 14,233.02 and 2,914.81

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Solution

The fourth proportional to 9,488.67, 14,233.02 and 2,914.81 is: 4,372.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.67 : 14,233.02 = 2,914.81 : x
  2. Step 2: Convert to fraction form
    9,488.67/14,233.02 = 2,914.81/x
  3. Step 3: Cross multiply
    9,488.67x = 14,233.02 × 2,914.81
  4. Step 4: Simplify right side
    9,488.67x = 41,486,572.28
  5. Step 5: Solve for x
    x = 41,486,572.28/9,488.67
  6. Step 6: Final answer
    x = 4,372.22

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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.