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Finding the Fourth Proportional to 9,311.83, 12,850.58 and 5,063.18

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Solution

The fourth proportional to 9,311.83, 12,850.58 and 5,063.18 is: 6,987.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.83 : 12,850.58 = 5,063.18 : x
  2. Step 2: Convert to fraction form
    9,311.83/12,850.58 = 5,063.18/x
  3. Step 3: Cross multiply
    9,311.83x = 12,850.58 × 5,063.18
  4. Step 4: Simplify right side
    9,311.83x = 65,064,748.05
  5. Step 5: Solve for x
    x = 65,064,748.05/9,311.83
  6. Step 6: Final answer
    x = 6,987.32

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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.