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Finding the Fourth Proportional to 9,882.75, 14,824.14 and 4,039.35

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Solution

The fourth proportional to 9,882.75, 14,824.14 and 4,039.35 is: 6,059.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.75 : 14,824.14 = 4,039.35 : x
  2. Step 2: Convert to fraction form
    9,882.75/14,824.14 = 4,039.35/x
  3. Step 3: Cross multiply
    9,882.75x = 14,824.14 × 4,039.35
  4. Step 4: Simplify right side
    9,882.75x = 59,879,889.91
  5. Step 5: Solve for x
    x = 59,879,889.91/9,882.75
  6. Step 6: Final answer
    x = 6,059.03

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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.