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Finding the Fourth Proportional to 6,409.31, 8,844.93 and 3,576.96

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Solution

The fourth proportional to 6,409.31, 8,844.93 and 3,576.96 is: 4,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.31 : 8,844.93 = 3,576.96 : x
  2. Step 2: Convert to fraction form
    6,409.31/8,844.93 = 3,576.96/x
  3. Step 3: Cross multiply
    6,409.31x = 8,844.93 × 3,576.96
  4. Step 4: Simplify right side
    6,409.31x = 31,637,960.81
  5. Step 5: Solve for x
    x = 31,637,960.81/6,409.31
  6. Step 6: Final answer
    x = 4,936.25

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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.