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Finding the Fourth Proportional to 6,535.76, 9,022.10 and 4,414.16

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Solution

The fourth proportional to 6,535.76, 9,022.10 and 4,414.16 is: 6,093.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.76 : 9,022.10 = 4,414.16 : x
  2. Step 2: Convert to fraction form
    6,535.76/9,022.10 = 4,414.16/x
  3. Step 3: Cross multiply
    6,535.76x = 9,022.10 × 4,414.16
  4. Step 4: Simplify right side
    6,535.76x = 39,825,018.25
  5. Step 5: Solve for x
    x = 39,825,018.25/6,535.76
  6. Step 6: Final answer
    x = 6,093.41

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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.