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Finding the Fourth Proportional to 9,824.10, 14,736.14 and 8,089.08

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Solution

The fourth proportional to 9,824.10, 14,736.14 and 8,089.08 is: 12,133.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.10 : 14,736.14 = 8,089.08 : x
  2. Step 2: Convert to fraction form
    9,824.10/14,736.14 = 8,089.08/x
  3. Step 3: Cross multiply
    9,824.10x = 14,736.14 × 8,089.08
  4. Step 4: Simplify right side
    9,824.10x = 119,201,774.91
  5. Step 5: Solve for x
    x = 119,201,774.91/9,824.10
  6. Step 6: Final answer
    x = 12,133.61

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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.