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Finding the Fourth Proportional to 7,028.96, 9,699.94 and 3,885.13

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Solution

The fourth proportional to 7,028.96, 9,699.94 and 3,885.13 is: 5,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.96 : 9,699.94 = 3,885.13 : x
  2. Step 2: Convert to fraction form
    7,028.96/9,699.94 = 3,885.13/x
  3. Step 3: Cross multiply
    7,028.96x = 9,699.94 × 3,885.13
  4. Step 4: Simplify right side
    7,028.96x = 37,685,527.89
  5. Step 5: Solve for x
    x = 37,685,527.89/7,028.96
  6. Step 6: Final answer
    x = 5,361.47

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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.