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Finding the Fourth Proportional to 9,786.52, 13,505.16 and 5,594.50

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Solution

The fourth proportional to 9,786.52, 13,505.16 and 5,594.50 is: 7,720.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.52 : 13,505.16 = 5,594.50 : x
  2. Step 2: Convert to fraction form
    9,786.52/13,505.16 = 5,594.50/x
  3. Step 3: Cross multiply
    9,786.52x = 13,505.16 × 5,594.50
  4. Step 4: Simplify right side
    9,786.52x = 75,554,617.62
  5. Step 5: Solve for x
    x = 75,554,617.62/9,786.52
  6. Step 6: Final answer
    x = 7,720.27

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