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Finding the Fourth Proportional to 9,811.67, 13,535.35 and 5,829.96

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Solution

The fourth proportional to 9,811.67, 13,535.35 and 5,829.96 is: 8,042.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.67 : 13,535.35 = 5,829.96 : x
  2. Step 2: Convert to fraction form
    9,811.67/13,535.35 = 5,829.96/x
  3. Step 3: Cross multiply
    9,811.67x = 13,535.35 × 5,829.96
  4. Step 4: Simplify right side
    9,811.67x = 78,910,562.14
  5. Step 5: Solve for x
    x = 78,910,562.14/9,811.67
  6. Step 6: Final answer
    x = 8,042.52

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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.