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Finding the Fourth Proportional to 9,620.86, 14,432.81 and 4,074.24

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Solution

The fourth proportional to 9,620.86, 14,432.81 and 4,074.24 is: 6,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.86 : 14,432.81 = 4,074.24 : x
  2. Step 2: Convert to fraction form
    9,620.86/14,432.81 = 4,074.24/x
  3. Step 3: Cross multiply
    9,620.86x = 14,432.81 × 4,074.24
  4. Step 4: Simplify right side
    9,620.86x = 58,802,731.81
  5. Step 5: Solve for x
    x = 58,802,731.81/9,620.86
  6. Step 6: Final answer
    x = 6,112.00

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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.