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Finding the Fourth Proportional to 9,833.50, 13,568.14 and 6,647.30

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Solution

The fourth proportional to 9,833.50, 13,568.14 and 6,647.30 is: 9,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.50 : 13,568.14 = 6,647.30 : x
  2. Step 2: Convert to fraction form
    9,833.50/13,568.14 = 6,647.30/x
  3. Step 3: Cross multiply
    9,833.50x = 13,568.14 × 6,647.30
  4. Step 4: Simplify right side
    9,833.50x = 90,191,488.37
  5. Step 5: Solve for x
    x = 90,191,488.37/9,833.50
  6. Step 6: Final answer
    x = 9,171.86

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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.