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Finding the Fourth Proportional to 7,100.09, 9,797.90 and 4,448.96

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Solution

The fourth proportional to 7,100.09, 9,797.90 and 4,448.96 is: 6,139.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.09 : 9,797.90 = 4,448.96 : x
  2. Step 2: Convert to fraction form
    7,100.09/9,797.90 = 4,448.96/x
  3. Step 3: Cross multiply
    7,100.09x = 9,797.90 × 4,448.96
  4. Step 4: Simplify right side
    7,100.09x = 43,590,451.81
  5. Step 5: Solve for x
    x = 43,590,451.81/7,100.09
  6. Step 6: Final answer
    x = 6,139.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.