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Finding the Fourth Proportional to 10,306.86, 14,218.38 and 6,945.36

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Solution

The fourth proportional to 10,306.86, 14,218.38 and 6,945.36 is: 9,581.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.86 : 14,218.38 = 6,945.36 : x
  2. Step 2: Convert to fraction form
    10,306.86/14,218.38 = 6,945.36/x
  3. Step 3: Cross multiply
    10,306.86x = 14,218.38 × 6,945.36
  4. Step 4: Simplify right side
    10,306.86x = 98,751,767.72
  5. Step 5: Solve for x
    x = 98,751,767.72/10,306.86
  6. Step 6: Final answer
    x = 9,581.17

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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.