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Finding the Fourth Proportional to 11,193.72, 15,430.12 and 9,400.38

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Solution

The fourth proportional to 11,193.72, 15,430.12 and 9,400.38 is: 12,958.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,193.72 : 15,430.12 = 9,400.38 : x
  2. Step 2: Convert to fraction form
    11,193.72/15,430.12 = 9,400.38/x
  3. Step 3: Cross multiply
    11,193.72x = 15,430.12 × 9,400.38
  4. Step 4: Simplify right side
    11,193.72x = 145,048,991.45
  5. Step 5: Solve for x
    x = 145,048,991.45/11,193.72
  6. Step 6: Final answer
    x = 12,958.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.