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Finding the Fourth Proportional to 6,411.12, 9,611.88 and 4,325.25

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Solution

The fourth proportional to 6,411.12, 9,611.88 and 4,325.25 is: 6,484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.12 : 9,611.88 = 4,325.25 : x
  2. Step 2: Convert to fraction form
    6,411.12/9,611.88 = 4,325.25/x
  3. Step 3: Cross multiply
    6,411.12x = 9,611.88 × 4,325.25
  4. Step 4: Simplify right side
    6,411.12x = 41,573,783.97
  5. Step 5: Solve for x
    x = 41,573,783.97/6,411.12
  6. Step 6: Final answer
    x = 6,484.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.