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Finding the Fourth Proportional to 9,485.72, 13,084.38 and 6,828.92

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Solution

The fourth proportional to 9,485.72, 13,084.38 and 6,828.92 is: 9,419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.72 : 13,084.38 = 6,828.92 : x
  2. Step 2: Convert to fraction form
    9,485.72/13,084.38 = 6,828.92/x
  3. Step 3: Cross multiply
    9,485.72x = 13,084.38 × 6,828.92
  4. Step 4: Simplify right side
    9,485.72x = 89,352,184.27
  5. Step 5: Solve for x
    x = 89,352,184.27/9,485.72
  6. Step 6: Final answer
    x = 9,419.65

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Why These Related Problems?

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