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Finding the Fourth Proportional to 7,118.76, 9,822.12 and 6,173.04

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Solution

The fourth proportional to 7,118.76, 9,822.12 and 6,173.04 is: 8,517.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.76 : 9,822.12 = 6,173.04 : x
  2. Step 2: Convert to fraction form
    7,118.76/9,822.12 = 6,173.04/x
  3. Step 3: Cross multiply
    7,118.76x = 9,822.12 × 6,173.04
  4. Step 4: Simplify right side
    7,118.76x = 60,632,339.64
  5. Step 5: Solve for x
    x = 60,632,339.64/7,118.76
  6. Step 6: Final answer
    x = 8,517.26

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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.