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Finding the Fourth Proportional to 9,814.43, 14,716.71 and 4,544.90

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Solution

The fourth proportional to 9,814.43, 14,716.71 and 4,544.90 is: 6,815.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.43 : 14,716.71 = 4,544.90 : x
  2. Step 2: Convert to fraction form
    9,814.43/14,716.71 = 4,544.90/x
  3. Step 3: Cross multiply
    9,814.43x = 14,716.71 × 4,544.90
  4. Step 4: Simplify right side
    9,814.43x = 66,886,012.07
  5. Step 5: Solve for x
    x = 66,886,012.07/9,814.43
  6. Step 6: Final answer
    x = 6,815.07

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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.