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Finding the Fourth Proportional to 6,329.32, 8,734.18 and 3,534.60

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Solution

The fourth proportional to 6,329.32, 8,734.18 and 3,534.60 is: 4,877.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.32 : 8,734.18 = 3,534.60 : x
  2. Step 2: Convert to fraction form
    6,329.32/8,734.18 = 3,534.60/x
  3. Step 3: Cross multiply
    6,329.32x = 8,734.18 × 3,534.60
  4. Step 4: Simplify right side
    6,329.32x = 30,871,832.63
  5. Step 5: Solve for x
    x = 30,871,832.63/6,329.32
  6. Step 6: Final answer
    x = 4,877.59

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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.