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Finding the Fourth Proportional to 9,209.84, 13,809.89 and 4,012.88

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Solution

The fourth proportional to 9,209.84, 13,809.89 and 4,012.88 is: 6,017.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.84 : 13,809.89 = 4,012.88 : x
  2. Step 2: Convert to fraction form
    9,209.84/13,809.89 = 4,012.88/x
  3. Step 3: Cross multiply
    9,209.84x = 13,809.89 × 4,012.88
  4. Step 4: Simplify right side
    9,209.84x = 55,417,372.37
  5. Step 5: Solve for x
    x = 55,417,372.37/9,209.84
  6. Step 6: Final answer
    x = 6,017.19

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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.