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Finding the Fourth Proportional to 6,524.76, 9,783.90 and 2,364.60

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Solution

The fourth proportional to 6,524.76, 9,783.90 and 2,364.60 is: 3,545.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.76 : 9,783.90 = 2,364.60 : x
  2. Step 2: Convert to fraction form
    6,524.76/9,783.90 = 2,364.60/x
  3. Step 3: Cross multiply
    6,524.76x = 9,783.90 × 2,364.60
  4. Step 4: Simplify right side
    6,524.76x = 23,135,009.94
  5. Step 5: Solve for x
    x = 23,135,009.94/6,524.76
  6. Step 6: Final answer
    x = 3,545.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.