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Finding the Fourth Proportional to 6,336.48, 8,742.21 and 4,101.18

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Solution

The fourth proportional to 6,336.48, 8,742.21 and 4,101.18 is: 5,658.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.48 : 8,742.21 = 4,101.18 : x
  2. Step 2: Convert to fraction form
    6,336.48/8,742.21 = 4,101.18/x
  3. Step 3: Cross multiply
    6,336.48x = 8,742.21 × 4,101.18
  4. Step 4: Simplify right side
    6,336.48x = 35,853,376.81
  5. Step 5: Solve for x
    x = 35,853,376.81/6,336.48
  6. Step 6: Final answer
    x = 5,658.25

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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.