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Finding the Fourth Proportional to 9,117.67, 13,677.96 and 3,852.73

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Solution

The fourth proportional to 9,117.67, 13,677.96 and 3,852.73 is: 5,779.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.67 : 13,677.96 = 3,852.73 : x
  2. Step 2: Convert to fraction form
    9,117.67/13,677.96 = 3,852.73/x
  3. Step 3: Cross multiply
    9,117.67x = 13,677.96 × 3,852.73
  4. Step 4: Simplify right side
    9,117.67x = 52,697,399.18
  5. Step 5: Solve for x
    x = 52,697,399.18/9,117.67
  6. Step 6: Final answer
    x = 5,779.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.