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Finding the Fourth Proportional to 6,513.84, 9,775.44 and 3,591.36

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Solution

The fourth proportional to 6,513.84, 9,775.44 and 3,591.36 is: 5,389.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.84 : 9,775.44 = 3,591.36 : x
  2. Step 2: Convert to fraction form
    6,513.84/9,775.44 = 3,591.36/x
  3. Step 3: Cross multiply
    6,513.84x = 9,775.44 × 3,591.36
  4. Step 4: Simplify right side
    6,513.84x = 35,107,124.20
  5. Step 5: Solve for x
    x = 35,107,124.20/6,513.84
  6. Step 6: Final answer
    x = 5,389.62

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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.