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Finding the Fourth Proportional to 6,325.96, 8,729.70 and 3,531.40

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Solution

The fourth proportional to 6,325.96, 8,729.70 and 3,531.40 is: 4,873.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.96 : 8,729.70 = 3,531.40 : x
  2. Step 2: Convert to fraction form
    6,325.96/8,729.70 = 3,531.40/x
  3. Step 3: Cross multiply
    6,325.96x = 8,729.70 × 3,531.40
  4. Step 4: Simplify right side
    6,325.96x = 30,828,062.58
  5. Step 5: Solve for x
    x = 30,828,062.58/6,325.96
  6. Step 6: Final answer
    x = 4,873.26

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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.