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Finding the Fourth Proportional to 6,410.94, 9,611.58 and 4,325.10

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Solution

The fourth proportional to 6,410.94, 9,611.58 and 4,325.10 is: 6,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.94 : 9,611.58 = 4,325.10 : x
  2. Step 2: Convert to fraction form
    6,410.94/9,611.58 = 4,325.10/x
  3. Step 3: Cross multiply
    6,410.94x = 9,611.58 × 4,325.10
  4. Step 4: Simplify right side
    6,410.94x = 41,571,044.66
  5. Step 5: Solve for x
    x = 41,571,044.66/6,410.94
  6. Step 6: Final answer
    x = 6,484.39

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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.