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Finding the Fourth Proportional to 6,885.46, 9,494.76 and 5,894.02

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Solution

The fourth proportional to 6,885.46, 9,494.76 and 5,894.02 is: 8,127.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.46 : 9,494.76 = 5,894.02 : x
  2. Step 2: Convert to fraction form
    6,885.46/9,494.76 = 5,894.02/x
  3. Step 3: Cross multiply
    6,885.46x = 9,494.76 × 5,894.02
  4. Step 4: Simplify right side
    6,885.46x = 55,962,305.34
  5. Step 5: Solve for x
    x = 55,962,305.34/6,885.46
  6. Step 6: Final answer
    x = 8,127.61

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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.