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Finding the Fourth Proportional to 6,329.09, 8,734.16 and 3,534.59

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Solution

The fourth proportional to 6,329.09, 8,734.16 and 3,534.59 is: 4,877.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.09 : 8,734.16 = 3,534.59 : x
  2. Step 2: Convert to fraction form
    6,329.09/8,734.16 = 3,534.59/x
  3. Step 3: Cross multiply
    6,329.09x = 8,734.16 × 3,534.59
  4. Step 4: Simplify right side
    6,329.09x = 30,871,674.59
  5. Step 5: Solve for x
    x = 30,871,674.59/6,329.09
  6. Step 6: Final answer
    x = 4,877.74

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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.