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Finding the Fourth Proportional to 9,293.93, 12,814.81 and 6,311.69

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Solution

The fourth proportional to 9,293.93, 12,814.81 and 6,311.69 is: 8,702.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.93 : 12,814.81 = 6,311.69 : x
  2. Step 2: Convert to fraction form
    9,293.93/12,814.81 = 6,311.69/x
  3. Step 3: Cross multiply
    9,293.93x = 12,814.81 × 6,311.69
  4. Step 4: Simplify right side
    9,293.93x = 80,883,108.13
  5. Step 5: Solve for x
    x = 80,883,108.13/9,293.93
  6. Step 6: Final answer
    x = 8,702.79

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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.