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Finding the Fourth Proportional to 9,204.84, 12,704.85 and 5,428.62

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Solution

The fourth proportional to 9,204.84, 12,704.85 and 5,428.62 is: 7,492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.84 : 12,704.85 = 5,428.62 : x
  2. Step 2: Convert to fraction form
    9,204.84/12,704.85 = 5,428.62/x
  3. Step 3: Cross multiply
    9,204.84x = 12,704.85 × 5,428.62
  4. Step 4: Simplify right side
    9,204.84x = 68,969,802.81
  5. Step 5: Solve for x
    x = 68,969,802.81/9,204.84
  6. Step 6: Final answer
    x = 7,492.78

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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.