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Finding the Fourth Proportional to 9,311.42, 13,950.72 and 4,919.18

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Solution

The fourth proportional to 9,311.42, 13,950.72 and 4,919.18 is: 7,370.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.42 : 13,950.72 = 4,919.18 : x
  2. Step 2: Convert to fraction form
    9,311.42/13,950.72 = 4,919.18/x
  3. Step 3: Cross multiply
    9,311.42x = 13,950.72 × 4,919.18
  4. Step 4: Simplify right side
    9,311.42x = 68,626,102.81
  5. Step 5: Solve for x
    x = 68,626,102.81/9,311.42
  6. Step 6: Final answer
    x = 7,370.10

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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.