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Finding the Fourth Proportional to 9,786.69, 13,505.67 and 5,752.62

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Solution

The fourth proportional to 9,786.69, 13,505.67 and 5,752.62 is: 7,938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.69 : 13,505.67 = 5,752.62 : x
  2. Step 2: Convert to fraction form
    9,786.69/13,505.67 = 5,752.62/x
  3. Step 3: Cross multiply
    9,786.69x = 13,505.67 × 5,752.62
  4. Step 4: Simplify right side
    9,786.69x = 77,692,987.36
  5. Step 5: Solve for x
    x = 77,692,987.36/9,786.69
  6. Step 6: Final answer
    x = 7,938.64

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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.