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Finding the Fourth Proportional to 6,414.41, 8,852.18 and 3,582.02

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Solution

The fourth proportional to 6,414.41, 8,852.18 and 3,582.02 is: 4,943.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.41 : 8,852.18 = 3,582.02 : x
  2. Step 2: Convert to fraction form
    6,414.41/8,852.18 = 3,582.02/x
  3. Step 3: Cross multiply
    6,414.41x = 8,852.18 × 3,582.02
  4. Step 4: Simplify right side
    6,414.41x = 31,708,623.63
  5. Step 5: Solve for x
    x = 31,708,623.63/6,414.41
  6. Step 6: Final answer
    x = 4,943.35

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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.