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Finding the Fourth Proportional to 9,488.50, 14,231.53 and 2,914.14

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Solution

The fourth proportional to 9,488.50, 14,231.53 and 2,914.14 is: 4,370.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.50 : 14,231.53 = 2,914.14 : x
  2. Step 2: Convert to fraction form
    9,488.50/14,231.53 = 2,914.14/x
  3. Step 3: Cross multiply
    9,488.50x = 14,231.53 × 2,914.14
  4. Step 4: Simplify right side
    9,488.50x = 41,472,670.83
  5. Step 5: Solve for x
    x = 41,472,670.83/9,488.50
  6. Step 6: Final answer
    x = 4,370.84

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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.