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Finding the Fourth Proportional to 9,785.34, 13,494.85 and 8,276.06

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Solution

The fourth proportional to 9,785.34, 13,494.85 and 8,276.06 is: 11,413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.34 : 13,494.85 = 8,276.06 : x
  2. Step 2: Convert to fraction form
    9,785.34/13,494.85 = 8,276.06/x
  3. Step 3: Cross multiply
    9,785.34x = 13,494.85 × 8,276.06
  4. Step 4: Simplify right side
    9,785.34x = 111,684,120.82
  5. Step 5: Solve for x
    x = 111,684,120.82/9,785.34
  6. Step 6: Final answer
    x = 11,413.42

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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.