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Finding the Fourth Proportional to 6,414.61, 8,852.07 and 3,582.03

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Solution

The fourth proportional to 6,414.61, 8,852.07 and 3,582.03 is: 4,943.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.61 : 8,852.07 = 3,582.03 : x
  2. Step 2: Convert to fraction form
    6,414.61/8,852.07 = 3,582.03/x
  3. Step 3: Cross multiply
    6,414.61x = 8,852.07 × 3,582.03
  4. Step 4: Simplify right side
    6,414.61x = 31,708,380.30
  5. Step 5: Solve for x
    x = 31,708,380.30/6,414.61
  6. Step 6: Final answer
    x = 4,943.15

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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.