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Finding the Fourth Proportional to 6,409.17, 9,616.10 and 3,289.95

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Solution

The fourth proportional to 6,409.17, 9,616.10 and 3,289.95 is: 4,936.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.17 : 9,616.10 = 3,289.95 : x
  2. Step 2: Convert to fraction form
    6,409.17/9,616.10 = 3,289.95/x
  3. Step 3: Cross multiply
    6,409.17x = 9,616.10 × 3,289.95
  4. Step 4: Simplify right side
    6,409.17x = 31,636,471.75
  5. Step 5: Solve for x
    x = 31,636,471.75/6,409.17
  6. Step 6: Final answer
    x = 4,936.13

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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.