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Finding the Fourth Proportional to 9,311.46, 12,854.79 and 5,777.70

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Solution

The fourth proportional to 9,311.46, 12,854.79 and 5,777.70 is: 7,976.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.46 : 12,854.79 = 5,777.70 : x
  2. Step 2: Convert to fraction form
    9,311.46/12,854.79 = 5,777.70/x
  3. Step 3: Cross multiply
    9,311.46x = 12,854.79 × 5,777.70
  4. Step 4: Simplify right side
    9,311.46x = 74,271,120.18
  5. Step 5: Solve for x
    x = 74,271,120.18/9,311.46
  6. Step 6: Final answer
    x = 7,976.31

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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.