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Finding the Fourth Proportional to 6,827.95, 9,402.74 and 5,931.28

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Solution

The fourth proportional to 6,827.95, 9,402.74 and 5,931.28 is: 8,167.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.95 : 9,402.74 = 5,931.28 : x
  2. Step 2: Convert to fraction form
    6,827.95/9,402.74 = 5,931.28/x
  3. Step 3: Cross multiply
    6,827.95x = 9,402.74 × 5,931.28
  4. Step 4: Simplify right side
    6,827.95x = 55,770,230.54
  5. Step 5: Solve for x
    x = 55,770,230.54/6,827.95
  6. Step 6: Final answer
    x = 8,167.93

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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.