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Finding the Fourth Proportional to 6,971.68, 9,621.12 and 4,178.08

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Solution

The fourth proportional to 6,971.68, 9,621.12 and 4,178.08 is: 5,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.68 : 9,621.12 = 4,178.08 : x
  2. Step 2: Convert to fraction form
    6,971.68/9,621.12 = 4,178.08/x
  3. Step 3: Cross multiply
    6,971.68x = 9,621.12 × 4,178.08
  4. Step 4: Simplify right side
    6,971.68x = 40,197,809.05
  5. Step 5: Solve for x
    x = 40,197,809.05/6,971.68
  6. Step 6: Final answer
    x = 5,765.87

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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.