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Finding the Fourth Proportional to 6,414.87, 8,852.66 and 4,024.94

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Solution

The fourth proportional to 6,414.87, 8,852.66 and 4,024.94 is: 5,554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.87 : 8,852.66 = 4,024.94 : x
  2. Step 2: Convert to fraction form
    6,414.87/8,852.66 = 4,024.94/x
  3. Step 3: Cross multiply
    6,414.87x = 8,852.66 × 4,024.94
  4. Step 4: Simplify right side
    6,414.87x = 35,631,360.95
  5. Step 5: Solve for x
    x = 35,631,360.95/6,414.87
  6. Step 6: Final answer
    x = 5,554.49

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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.