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Finding the Fourth Proportional to 6,955.94, 9,593.60 and 6,114.86

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Solution

The fourth proportional to 6,955.94, 9,593.60 and 6,114.86 is: 8,433.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,955.94 : 9,593.60 = 6,114.86 : x
  2. Step 2: Convert to fraction form
    6,955.94/9,593.60 = 6,114.86/x
  3. Step 3: Cross multiply
    6,955.94x = 9,593.60 × 6,114.86
  4. Step 4: Simplify right side
    6,955.94x = 58,663,472.93
  5. Step 5: Solve for x
    x = 58,663,472.93/6,955.94
  6. Step 6: Final answer
    x = 8,433.59

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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.