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Finding the Fourth Proportional to 9,210.80, 13,816.20 and 8,117.30

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Solution

The fourth proportional to 9,210.80, 13,816.20 and 8,117.30 is: 12,175.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210.80 : 13,816.20 = 8,117.30 : x
  2. Step 2: Convert to fraction form
    9,210.80/13,816.20 = 8,117.30/x
  3. Step 3: Cross multiply
    9,210.80x = 13,816.20 × 8,117.30
  4. Step 4: Simplify right side
    9,210.80x = 112,150,240.26
  5. Step 5: Solve for x
    x = 112,150,240.26/9,210.80
  6. Step 6: Final answer
    x = 12,175.95

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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.