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Finding the Fourth Proportional to 7,028.04, 9,698.76 and 3,884.40

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Solution

The fourth proportional to 7,028.04, 9,698.76 and 3,884.40 is: 5,360.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.04 : 9,698.76 = 3,884.40 : x
  2. Step 2: Convert to fraction form
    7,028.04/9,698.76 = 3,884.40/x
  3. Step 3: Cross multiply
    7,028.04x = 9,698.76 × 3,884.40
  4. Step 4: Simplify right side
    7,028.04x = 37,673,863.34
  5. Step 5: Solve for x
    x = 37,673,863.34/7,028.04
  6. Step 6: Final answer
    x = 5,360.51

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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.