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Finding the Fourth Proportional to 9,821.48, 14,731.74 and 3,665

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Solution

The fourth proportional to 9,821.48, 14,731.74 and 3,665 is: 5,497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.48 : 14,731.74 = 3,665 : x
  2. Step 2: Convert to fraction form
    9,821.48/14,731.74 = 3,665/x
  3. Step 3: Cross multiply
    9,821.48x = 14,731.74 × 3,665
  4. Step 4: Simplify right side
    9,821.48x = 53,991,827.10
  5. Step 5: Solve for x
    x = 53,991,827.10/9,821.48
  6. Step 6: Final answer
    x = 5,497.32

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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.