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Finding the Fourth Proportional to 9,311.41, 12,850.00 and 5,062.76

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Solution

The fourth proportional to 9,311.41, 12,850.00 and 5,062.76 is: 6,986.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.41 : 12,850.00 = 5,062.76 : x
  2. Step 2: Convert to fraction form
    9,311.41/12,850.00 = 5,062.76/x
  3. Step 3: Cross multiply
    9,311.41x = 12,850.00 × 5,062.76
  4. Step 4: Simplify right side
    9,311.41x = 65,056,437.28
  5. Step 5: Solve for x
    x = 65,056,437.28/9,311.41
  6. Step 6: Final answer
    x = 6,986.74

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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.