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Finding the Fourth Proportional to 9,562.37, 13,196.37 and 5,786.23

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Solution

The fourth proportional to 9,562.37, 13,196.37 and 5,786.23 is: 7,985.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.37 : 13,196.37 = 5,786.23 : x
  2. Step 2: Convert to fraction form
    9,562.37/13,196.37 = 5,786.23/x
  3. Step 3: Cross multiply
    9,562.37x = 13,196.37 × 5,786.23
  4. Step 4: Simplify right side
    9,562.37x = 76,357,231.99
  5. Step 5: Solve for x
    x = 76,357,231.99/9,562.37
  6. Step 6: Final answer
    x = 7,985.18

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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.