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Finding the Fourth Proportional to 9,864.66, 14,788.19 and 3,623.24

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Solution

The fourth proportional to 9,864.66, 14,788.19 and 3,623.24 is: 5,431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.66 : 14,788.19 = 3,623.24 : x
  2. Step 2: Convert to fraction form
    9,864.66/14,788.19 = 3,623.24/x
  3. Step 3: Cross multiply
    9,864.66x = 14,788.19 × 3,623.24
  4. Step 4: Simplify right side
    9,864.66x = 53,581,161.54
  5. Step 5: Solve for x
    x = 53,581,161.54/9,864.66
  6. Step 6: Final answer
    x = 5,431.63

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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.