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Finding the Fourth Proportional to 6,278.64, 9,416.16 and 2,580.24

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Solution

The fourth proportional to 6,278.64, 9,416.16 and 2,580.24 is: 3,869.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.64 : 9,416.16 = 2,580.24 : x
  2. Step 2: Convert to fraction form
    6,278.64/9,416.16 = 2,580.24/x
  3. Step 3: Cross multiply
    6,278.64x = 9,416.16 × 2,580.24
  4. Step 4: Simplify right side
    6,278.64x = 24,295,952.68
  5. Step 5: Solve for x
    x = 24,295,952.68/6,278.64
  6. Step 6: Final answer
    x = 3,869.62

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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.