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Finding the Fourth Proportional to 9,847.28, 14,770.88 and 4,003.84

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Solution

The fourth proportional to 9,847.28, 14,770.88 and 4,003.84 is: 6,005.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.28 : 14,770.88 = 4,003.84 : x
  2. Step 2: Convert to fraction form
    9,847.28/14,770.88 = 4,003.84/x
  3. Step 3: Cross multiply
    9,847.28x = 14,770.88 × 4,003.84
  4. Step 4: Simplify right side
    9,847.28x = 59,140,240.18
  5. Step 5: Solve for x
    x = 59,140,240.18/9,847.28
  6. Step 6: Final answer
    x = 6,005.74

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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.