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Finding the Fourth Proportional to 9,814.16, 14,722.46 and 3,151.10

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Solution

The fourth proportional to 9,814.16, 14,722.46 and 3,151.10 is: 4,727.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.16 : 14,722.46 = 3,151.10 : x
  2. Step 2: Convert to fraction form
    9,814.16/14,722.46 = 3,151.10/x
  3. Step 3: Cross multiply
    9,814.16x = 14,722.46 × 3,151.10
  4. Step 4: Simplify right side
    9,814.16x = 46,391,976.57
  5. Step 5: Solve for x
    x = 46,391,976.57/9,814.16
  6. Step 6: Final answer
    x = 4,727.04

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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.