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Finding the Fourth Proportional to 12,209.70, 16,849.29 and 6,904.53

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Solution

The fourth proportional to 12,209.70, 16,849.29 and 6,904.53 is: 9,528.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.70 : 16,849.29 = 6,904.53 : x
  2. Step 2: Convert to fraction form
    12,209.70/16,849.29 = 6,904.53/x
  3. Step 3: Cross multiply
    12,209.70x = 16,849.29 × 6,904.53
  4. Step 4: Simplify right side
    12,209.70x = 116,336,428.28
  5. Step 5: Solve for x
    x = 116,336,428.28/12,209.70
  6. Step 6: Final answer
    x = 9,528.20

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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.