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Finding the Fourth Proportional to 6,336.34, 8,742.01 and 3,681.57

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Solution

The fourth proportional to 6,336.34, 8,742.01 and 3,681.57 is: 5,079.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.34 : 8,742.01 = 3,681.57 : x
  2. Step 2: Convert to fraction form
    6,336.34/8,742.01 = 3,681.57/x
  3. Step 3: Cross multiply
    6,336.34x = 8,742.01 × 3,681.57
  4. Step 4: Simplify right side
    6,336.34x = 32,184,259.64
  5. Step 5: Solve for x
    x = 32,184,259.64/6,336.34
  6. Step 6: Final answer
    x = 5,079.31

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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.