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Finding the Fourth Proportional to 9,409.65, 12,984.89 and 5,218.17

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Solution

The fourth proportional to 9,409.65, 12,984.89 and 5,218.17 is: 7,200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.65 : 12,984.89 = 5,218.17 : x
  2. Step 2: Convert to fraction form
    9,409.65/12,984.89 = 5,218.17/x
  3. Step 3: Cross multiply
    9,409.65x = 12,984.89 × 5,218.17
  4. Step 4: Simplify right side
    9,409.65x = 67,757,337.36
  5. Step 5: Solve for x
    x = 67,757,337.36/9,409.65
  6. Step 6: Final answer
    x = 7,200.84

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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.