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Finding the Fourth Proportional to 9,594.50, 14,394.20 and 3,749.13

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Solution

The fourth proportional to 9,594.50, 14,394.20 and 3,749.13 is: 5,624.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.50 : 14,394.20 = 3,749.13 : x
  2. Step 2: Convert to fraction form
    9,594.50/14,394.20 = 3,749.13/x
  3. Step 3: Cross multiply
    9,594.50x = 14,394.20 × 3,749.13
  4. Step 4: Simplify right side
    9,594.50x = 53,965,708.30
  5. Step 5: Solve for x
    x = 53,965,708.30/9,594.50
  6. Step 6: Final answer
    x = 5,624.65

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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.