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Finding the Fourth Proportional to 9,699.37, 13,380.61 and 6,112.69

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Solution

The fourth proportional to 9,699.37, 13,380.61 and 6,112.69 is: 8,432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.37 : 13,380.61 = 6,112.69 : x
  2. Step 2: Convert to fraction form
    9,699.37/13,380.61 = 6,112.69/x
  3. Step 3: Cross multiply
    9,699.37x = 13,380.61 × 6,112.69
  4. Step 4: Simplify right side
    9,699.37x = 81,791,520.94
  5. Step 5: Solve for x
    x = 81,791,520.94/9,699.37
  6. Step 6: Final answer
    x = 8,432.66

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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.