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Finding the Fourth Proportional to 9,833.85, 13,567.37 and 6,299.19

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Solution

The fourth proportional to 9,833.85, 13,567.37 and 6,299.19 is: 8,690.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.85 : 13,567.37 = 6,299.19 : x
  2. Step 2: Convert to fraction form
    9,833.85/13,567.37 = 6,299.19/x
  3. Step 3: Cross multiply
    9,833.85x = 13,567.37 × 6,299.19
  4. Step 4: Simplify right side
    9,833.85x = 85,463,409.93
  5. Step 5: Solve for x
    x = 85,463,409.93/9,833.85
  6. Step 6: Final answer
    x = 8,690.74

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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.