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Finding the Fourth Proportional to 9,882.28, 13,638.86 and 6,355.74

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Solution

The fourth proportional to 9,882.28, 13,638.86 and 6,355.74 is: 8,771.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.28 : 13,638.86 = 6,355.74 : x
  2. Step 2: Convert to fraction form
    9,882.28/13,638.86 = 6,355.74/x
  3. Step 3: Cross multiply
    9,882.28x = 13,638.86 × 6,355.74
  4. Step 4: Simplify right side
    9,882.28x = 86,685,048.06
  5. Step 5: Solve for x
    x = 86,685,048.06/9,882.28
  6. Step 6: Final answer
    x = 8,771.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.