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Finding the Fourth Proportional to 9,892.30, 14,838.60 and 3,228.78

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Solution

The fourth proportional to 9,892.30, 14,838.60 and 3,228.78 is: 4,843.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.30 : 14,838.60 = 3,228.78 : x
  2. Step 2: Convert to fraction form
    9,892.30/14,838.60 = 3,228.78/x
  3. Step 3: Cross multiply
    9,892.30x = 14,838.60 × 3,228.78
  4. Step 4: Simplify right side
    9,892.30x = 47,910,574.91
  5. Step 5: Solve for x
    x = 47,910,574.91/9,892.30
  6. Step 6: Final answer
    x = 4,843.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.