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Finding the Fourth Proportional to 9,824.41, 14,736.63 and 8,089.39

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Solution

The fourth proportional to 9,824.41, 14,736.63 and 8,089.39 is: 12,134.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.41 : 14,736.63 = 8,089.39 : x
  2. Step 2: Convert to fraction form
    9,824.41/14,736.63 = 8,089.39/x
  3. Step 3: Cross multiply
    9,824.41x = 14,736.63 × 8,089.39
  4. Step 4: Simplify right side
    9,824.41x = 119,210,273.67
  5. Step 5: Solve for x
    x = 119,210,273.67/9,824.41
  6. Step 6: Final answer
    x = 12,134.10

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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.