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Finding the Fourth Proportional to 7,022.25, 9,686.75 and 4,629.78

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Solution

The fourth proportional to 7,022.25, 9,686.75 and 4,629.78 is: 6,386.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.25 : 9,686.75 = 4,629.78 : x
  2. Step 2: Convert to fraction form
    7,022.25/9,686.75 = 4,629.78/x
  3. Step 3: Cross multiply
    7,022.25x = 9,686.75 × 4,629.78
  4. Step 4: Simplify right side
    7,022.25x = 44,847,498.27
  5. Step 5: Solve for x
    x = 44,847,498.27/7,022.25
  6. Step 6: Final answer
    x = 6,386.49

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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.