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Finding the Fourth Proportional to 6,541.49, 9,809.15 and 2,378.56

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Solution

The fourth proportional to 6,541.49, 9,809.15 and 2,378.56 is: 3,566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.49 : 9,809.15 = 2,378.56 : x
  2. Step 2: Convert to fraction form
    6,541.49/9,809.15 = 2,378.56/x
  3. Step 3: Cross multiply
    6,541.49x = 9,809.15 × 2,378.56
  4. Step 4: Simplify right side
    6,541.49x = 23,331,651.82
  5. Step 5: Solve for x
    x = 23,331,651.82/6,541.49
  6. Step 6: Final answer
    x = 3,566.72

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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.