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Finding the Fourth Proportional to 9,490.54, 14,244.49 and 4,813.78

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Solution

The fourth proportional to 9,490.54, 14,244.49 and 4,813.78 is: 7,225.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.54 : 14,244.49 = 4,813.78 : x
  2. Step 2: Convert to fraction form
    9,490.54/14,244.49 = 4,813.78/x
  3. Step 3: Cross multiply
    9,490.54x = 14,244.49 × 4,813.78
  4. Step 4: Simplify right side
    9,490.54x = 68,569,841.07
  5. Step 5: Solve for x
    x = 68,569,841.07/9,490.54
  6. Step 6: Final answer
    x = 7,225.07

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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.