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Finding the Fourth Proportional to 7,734.64, 10,673.88 and 4,197.88

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Solution

The fourth proportional to 7,734.64, 10,673.88 and 4,197.88 is: 5,793.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.64 : 10,673.88 = 4,197.88 : x
  2. Step 2: Convert to fraction form
    7,734.64/10,673.88 = 4,197.88/x
  3. Step 3: Cross multiply
    7,734.64x = 10,673.88 × 4,197.88
  4. Step 4: Simplify right side
    7,734.64x = 44,807,667.37
  5. Step 5: Solve for x
    x = 44,807,667.37/7,734.64
  6. Step 6: Final answer
    x = 5,793.12

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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.