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Finding the Fourth Proportional to 9,611.37, 14,424.33 and 6,483.96

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Solution

The fourth proportional to 9,611.37, 14,424.33 and 6,483.96 is: 9,730.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.37 : 14,424.33 = 6,483.96 : x
  2. Step 2: Convert to fraction form
    9,611.37/14,424.33 = 6,483.96/x
  3. Step 3: Cross multiply
    9,611.37x = 14,424.33 × 6,483.96
  4. Step 4: Simplify right side
    9,611.37x = 93,526,778.75
  5. Step 5: Solve for x
    x = 93,526,778.75/9,611.37
  6. Step 6: Final answer
    x = 9,730.85

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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.