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Finding the Fourth Proportional to 6,411.40, 8,840.75 and 4,169.12

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Solution

The fourth proportional to 6,411.40, 8,840.75 and 4,169.12 is: 5,748.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.40 : 8,840.75 = 4,169.12 : x
  2. Step 2: Convert to fraction form
    6,411.40/8,840.75 = 4,169.12/x
  3. Step 3: Cross multiply
    6,411.40x = 8,840.75 × 4,169.12
  4. Step 4: Simplify right side
    6,411.40x = 36,858,113.86
  5. Step 5: Solve for x
    x = 36,858,113.86/6,411.40
  6. Step 6: Final answer
    x = 5,748.84

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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.