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Finding the Fourth Proportional to 7,028.40, 9,698.62 and 3,884.59

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Solution

The fourth proportional to 7,028.40, 9,698.62 and 3,884.59 is: 5,360.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.40 : 9,698.62 = 3,884.59 : x
  2. Step 2: Convert to fraction form
    7,028.40/9,698.62 = 3,884.59/x
  3. Step 3: Cross multiply
    7,028.40x = 9,698.62 × 3,884.59
  4. Step 4: Simplify right side
    7,028.40x = 37,675,094.35
  5. Step 5: Solve for x
    x = 37,675,094.35/7,028.40
  6. Step 6: Final answer
    x = 5,360.41

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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.