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Finding the Fourth Proportional to 6,984.50, 9,652.37 and 5,723.46

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Solution

The fourth proportional to 6,984.50, 9,652.37 and 5,723.46 is: 7,909.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.50 : 9,652.37 = 5,723.46 : x
  2. Step 2: Convert to fraction form
    6,984.50/9,652.37 = 5,723.46/x
  3. Step 3: Cross multiply
    6,984.50x = 9,652.37 × 5,723.46
  4. Step 4: Simplify right side
    6,984.50x = 55,244,924.98
  5. Step 5: Solve for x
    x = 55,244,924.98/6,984.50
  6. Step 6: Final answer
    x = 7,909.65

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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.