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Finding the Fourth Proportional to 9,544.97, 14,315.57 and 3,219.22

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Solution

The fourth proportional to 9,544.97, 14,315.57 and 3,219.22 is: 4,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.97 : 14,315.57 = 3,219.22 : x
  2. Step 2: Convert to fraction form
    9,544.97/14,315.57 = 3,219.22/x
  3. Step 3: Cross multiply
    9,544.97x = 14,315.57 × 3,219.22
  4. Step 4: Simplify right side
    9,544.97x = 46,084,953.16
  5. Step 5: Solve for x
    x = 46,084,953.16/9,544.97
  6. Step 6: Final answer
    x = 4,828.20

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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.