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Finding the Fourth Proportional to 7,028.81, 9,695.99 and 4,636.41

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Solution

The fourth proportional to 7,028.81, 9,695.99 and 4,636.41 is: 6,395.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.81 : 9,695.99 = 4,636.41 : x
  2. Step 2: Convert to fraction form
    7,028.81/9,695.99 = 4,636.41/x
  3. Step 3: Cross multiply
    7,028.81x = 9,695.99 × 4,636.41
  4. Step 4: Simplify right side
    7,028.81x = 44,954,561.81
  5. Step 5: Solve for x
    x = 44,954,561.81/7,028.81
  6. Step 6: Final answer
    x = 6,395.76

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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.