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Finding the Fourth Proportional to 6,117.87, 9,094.31 and 5,938.27

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Solution

The fourth proportional to 6,117.87, 9,094.31 and 5,938.27 is: 8,827.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.87 : 9,094.31 = 5,938.27 : x
  2. Step 2: Convert to fraction form
    6,117.87/9,094.31 = 5,938.27/x
  3. Step 3: Cross multiply
    6,117.87x = 9,094.31 × 5,938.27
  4. Step 4: Simplify right side
    6,117.87x = 54,004,438.55
  5. Step 5: Solve for x
    x = 54,004,438.55/6,117.87
  6. Step 6: Final answer
    x = 8,827.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.