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Finding the Fourth Proportional to 6,921.63, 9,549.75 and 4,793.88

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Solution

The fourth proportional to 6,921.63, 9,549.75 and 4,793.88 is: 6,614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921.63 : 9,549.75 = 4,793.88 : x
  2. Step 2: Convert to fraction form
    6,921.63/9,549.75 = 4,793.88/x
  3. Step 3: Cross multiply
    6,921.63x = 9,549.75 × 4,793.88
  4. Step 4: Simplify right side
    6,921.63x = 45,780,355.53
  5. Step 5: Solve for x
    x = 45,780,355.53/6,921.63
  6. Step 6: Final answer
    x = 6,614.10

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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.