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Finding the Fourth Proportional to 12,209.00, 16,849.97 and 6,831.74

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Solution

The fourth proportional to 12,209.00, 16,849.97 and 6,831.74 is: 9,428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.00 : 16,849.97 = 6,831.74 : x
  2. Step 2: Convert to fraction form
    12,209.00/16,849.97 = 6,831.74/x
  3. Step 3: Cross multiply
    12,209.00x = 16,849.97 × 6,831.74
  4. Step 4: Simplify right side
    12,209.00x = 115,114,495.64
  5. Step 5: Solve for x
    x = 115,114,495.64/12,209.00
  6. Step 6: Final answer
    x = 9,428.66

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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.