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Finding the Fourth Proportional to 9,786.19, 13,505.84 and 5,593.63

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Solution

The fourth proportional to 9,786.19, 13,505.84 and 5,593.63 is: 7,719.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.19 : 13,505.84 = 5,593.63 : x
  2. Step 2: Convert to fraction form
    9,786.19/13,505.84 = 5,593.63/x
  3. Step 3: Cross multiply
    9,786.19x = 13,505.84 × 5,593.63
  4. Step 4: Simplify right side
    9,786.19x = 75,546,671.80
  5. Step 5: Solve for x
    x = 75,546,671.80/9,786.19
  6. Step 6: Final answer
    x = 7,719.72

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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.