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Finding the Fourth Proportional to 9,982.50, 14,969.54 and 3,409.08

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Solution

The fourth proportional to 9,982.50, 14,969.54 and 3,409.08 is: 5,112.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.50 : 14,969.54 = 3,409.08 : x
  2. Step 2: Convert to fraction form
    9,982.50/14,969.54 = 3,409.08/x
  3. Step 3: Cross multiply
    9,982.50x = 14,969.54 × 3,409.08
  4. Step 4: Simplify right side
    9,982.50x = 51,032,359.42
  5. Step 5: Solve for x
    x = 51,032,359.42/9,982.50
  6. Step 6: Final answer
    x = 5,112.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.