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Finding the Fourth Proportional to 9,620.10, 14,432.10 and 5,462.10

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Solution

The fourth proportional to 9,620.10, 14,432.10 and 5,462.10 is: 8,194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.10 : 14,432.10 = 5,462.10 : x
  2. Step 2: Convert to fraction form
    9,620.10/14,432.10 = 5,462.10/x
  3. Step 3: Cross multiply
    9,620.10x = 14,432.10 × 5,462.10
  4. Step 4: Simplify right side
    9,620.10x = 78,829,573.41
  5. Step 5: Solve for x
    x = 78,829,573.41/9,620.10
  6. Step 6: Final answer
    x = 8,194.26

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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.