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Finding the Fourth Proportional to 9,209.70, 13,809.69 and 4,009.50

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Solution

The fourth proportional to 9,209.70, 13,809.69 and 4,009.50 is: 6,012.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.70 : 13,809.69 = 4,009.50 : x
  2. Step 2: Convert to fraction form
    9,209.70/13,809.69 = 4,009.50/x
  3. Step 3: Cross multiply
    9,209.70x = 13,809.69 × 4,009.50
  4. Step 4: Simplify right side
    9,209.70x = 55,369,952.06
  5. Step 5: Solve for x
    x = 55,369,952.06/9,209.70
  6. Step 6: Final answer
    x = 6,012.13

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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.