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Finding the Fourth Proportional to 9,894.50, 14,828.79 and 5,514.02

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Solution

The fourth proportional to 9,894.50, 14,828.79 and 5,514.02 is: 8,263.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.50 : 14,828.79 = 5,514.02 : x
  2. Step 2: Convert to fraction form
    9,894.50/14,828.79 = 5,514.02/x
  3. Step 3: Cross multiply
    9,894.50x = 14,828.79 × 5,514.02
  4. Step 4: Simplify right side
    9,894.50x = 81,766,244.64
  5. Step 5: Solve for x
    x = 81,766,244.64/9,894.50
  6. Step 6: Final answer
    x = 8,263.81

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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.