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Finding the Fourth Proportional to 9,309.89, 12,860.71 and 8,469.11

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Solution

The fourth proportional to 9,309.89, 12,860.71 and 8,469.11 is: 11,699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.89 : 12,860.71 = 8,469.11 : x
  2. Step 2: Convert to fraction form
    9,309.89/12,860.71 = 8,469.11/x
  3. Step 3: Cross multiply
    9,309.89x = 12,860.71 × 8,469.11
  4. Step 4: Simplify right side
    9,309.89x = 108,918,767.67
  5. Step 5: Solve for x
    x = 108,918,767.67/9,309.89
  6. Step 6: Final answer
    x = 11,699.25

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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.