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Finding the Fourth Proportional to 10,803.64, 14,909.60 and 6,327.73

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Solution

The fourth proportional to 10,803.64, 14,909.60 and 6,327.73 is: 8,732.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.64 : 14,909.60 = 6,327.73 : x
  2. Step 2: Convert to fraction form
    10,803.64/14,909.60 = 6,327.73/x
  3. Step 3: Cross multiply
    10,803.64x = 14,909.60 × 6,327.73
  4. Step 4: Simplify right side
    10,803.64x = 94,343,933.94
  5. Step 5: Solve for x
    x = 94,343,933.94/10,803.64
  6. Step 6: Final answer
    x = 8,732.61

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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.