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Finding the Fourth Proportional to 9,562.34, 13,195.86 and 5,836.34

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Solution

The fourth proportional to 9,562.34, 13,195.86 and 5,836.34 is: 8,054.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.34 : 13,195.86 = 5,836.34 : x
  2. Step 2: Convert to fraction form
    9,562.34/13,195.86 = 5,836.34/x
  3. Step 3: Cross multiply
    9,562.34x = 13,195.86 × 5,836.34
  4. Step 4: Simplify right side
    9,562.34x = 77,015,525.55
  5. Step 5: Solve for x
    x = 77,015,525.55/9,562.34
  6. Step 6: Final answer
    x = 8,054.05

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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.