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Finding the Fourth Proportional to 9,354.94, 14,035.04 and 2,781.24

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Solution

The fourth proportional to 9,354.94, 14,035.04 and 2,781.24 is: 4,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.94 : 14,035.04 = 2,781.24 : x
  2. Step 2: Convert to fraction form
    9,354.94/14,035.04 = 2,781.24/x
  3. Step 3: Cross multiply
    9,354.94x = 14,035.04 × 2,781.24
  4. Step 4: Simplify right side
    9,354.94x = 39,034,814.65
  5. Step 5: Solve for x
    x = 39,034,814.65/9,354.94
  6. Step 6: Final answer
    x = 4,172.64

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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.