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Finding the Fourth Proportional to 11,409.38, 15,744.96 and 6,931.94

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Solution

The fourth proportional to 11,409.38, 15,744.96 and 6,931.94 is: 9,566.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.38 : 15,744.96 = 6,931.94 : x
  2. Step 2: Convert to fraction form
    11,409.38/15,744.96 = 6,931.94/x
  3. Step 3: Cross multiply
    11,409.38x = 15,744.96 × 6,931.94
  4. Step 4: Simplify right side
    11,409.38x = 109,143,118.02
  5. Step 5: Solve for x
    x = 109,143,118.02/11,409.38
  6. Step 6: Final answer
    x = 9,566.09

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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.