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Finding the Fourth Proportional to 9,796.13, 14,696.22 and 3,222.35

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Solution

The fourth proportional to 9,796.13, 14,696.22 and 3,222.35 is: 4,834.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.13 : 14,696.22 = 3,222.35 : x
  2. Step 2: Convert to fraction form
    9,796.13/14,696.22 = 3,222.35/x
  3. Step 3: Cross multiply
    9,796.13x = 14,696.22 × 3,222.35
  4. Step 4: Simplify right side
    9,796.13x = 47,356,364.52
  5. Step 5: Solve for x
    x = 47,356,364.52/9,796.13
  6. Step 6: Final answer
    x = 4,834.19

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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.