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Finding the Fourth Proportional to 6,407.61, 9,611.35 and 2,025.06

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Solution

The fourth proportional to 6,407.61, 9,611.35 and 2,025.06 is: 3,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.61 : 9,611.35 = 2,025.06 : x
  2. Step 2: Convert to fraction form
    6,407.61/9,611.35 = 2,025.06/x
  3. Step 3: Cross multiply
    6,407.61x = 9,611.35 × 2,025.06
  4. Step 4: Simplify right side
    6,407.61x = 19,463,560.43
  5. Step 5: Solve for x
    x = 19,463,560.43/6,407.61
  6. Step 6: Final answer
    x = 3,037.57

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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.