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Finding the Fourth Proportional to 7,028.47, 9,699.74 and 3,884.95

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Solution

The fourth proportional to 7,028.47, 9,699.74 and 3,884.95 is: 5,361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.47 : 9,699.74 = 3,884.95 : x
  2. Step 2: Convert to fraction form
    7,028.47/9,699.74 = 3,884.95/x
  3. Step 3: Cross multiply
    7,028.47x = 9,699.74 × 3,884.95
  4. Step 4: Simplify right side
    7,028.47x = 37,683,004.91
  5. Step 5: Solve for x
    x = 37,683,004.91/7,028.47
  6. Step 6: Final answer
    x = 5,361.48

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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.