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Finding the Fourth Proportional to 11,209.84, 15,469.90 and 6,430.23

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Solution

The fourth proportional to 11,209.84, 15,469.90 and 6,430.23 is: 8,873.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.84 : 15,469.90 = 6,430.23 : x
  2. Step 2: Convert to fraction form
    11,209.84/15,469.90 = 6,430.23/x
  3. Step 3: Cross multiply
    11,209.84x = 15,469.90 × 6,430.23
  4. Step 4: Simplify right side
    11,209.84x = 99,474,999.00
  5. Step 5: Solve for x
    x = 99,474,999.00/11,209.84
  6. Step 6: Final answer
    x = 8,873.90

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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.