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Finding the Fourth Proportional to 6,409, 9,617.28 and 2,711

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Solution

The fourth proportional to 6,409, 9,617.28 and 2,711 is: 4,068.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409 : 9,617.28 = 2,711 : x
  2. Step 2: Convert to fraction form
    6,409/9,617.28 = 2,711/x
  3. Step 3: Cross multiply
    6,409x = 9,617.28 × 2,711
  4. Step 4: Simplify right side
    6,409x = 26,072,446.08
  5. Step 5: Solve for x
    x = 26,072,446.08/6,409
  6. Step 6: Final answer
    x = 4,068.10

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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.