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Finding the Fourth Proportional to 6,409.54, 8,844.69 and 3,614.50

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Solution

The fourth proportional to 6,409.54, 8,844.69 and 3,614.50 is: 4,987.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.54 : 8,844.69 = 3,614.50 : x
  2. Step 2: Convert to fraction form
    6,409.54/8,844.69 = 3,614.50/x
  3. Step 3: Cross multiply
    6,409.54x = 8,844.69 × 3,614.50
  4. Step 4: Simplify right side
    6,409.54x = 31,969,132.01
  5. Step 5: Solve for x
    x = 31,969,132.01/6,409.54
  6. Step 6: Final answer
    x = 4,987.74

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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.