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Finding the Fourth Proportional to 6,415.89, 9,617.15 and 3,124.46

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Solution

The fourth proportional to 6,415.89, 9,617.15 and 3,124.46 is: 4,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.89 : 9,617.15 = 3,124.46 : x
  2. Step 2: Convert to fraction form
    6,415.89/9,617.15 = 3,124.46/x
  3. Step 3: Cross multiply
    6,415.89x = 9,617.15 × 3,124.46
  4. Step 4: Simplify right side
    6,415.89x = 30,048,336.78
  5. Step 5: Solve for x
    x = 30,048,336.78/6,415.89
  6. Step 6: Final answer
    x = 4,683.42

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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.