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Finding the Fourth Proportional to 9,117.80, 13,676.70 and 5,222.60

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Solution

The fourth proportional to 9,117.80, 13,676.70 and 5,222.60 is: 7,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.80 : 13,676.70 = 5,222.60 : x
  2. Step 2: Convert to fraction form
    9,117.80/13,676.70 = 5,222.60/x
  3. Step 3: Cross multiply
    9,117.80x = 13,676.70 × 5,222.60
  4. Step 4: Simplify right side
    9,117.80x = 71,427,933.42
  5. Step 5: Solve for x
    x = 71,427,933.42/9,117.80
  6. Step 6: Final answer
    x = 7,833.90

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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.