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Finding the Fourth Proportional to 9,378.46, 14,074.53 and 6,919.90

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Solution

The fourth proportional to 9,378.46, 14,074.53 and 6,919.90 is: 10,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.46 : 14,074.53 = 6,919.90 : x
  2. Step 2: Convert to fraction form
    9,378.46/14,074.53 = 6,919.90/x
  3. Step 3: Cross multiply
    9,378.46x = 14,074.53 × 6,919.90
  4. Step 4: Simplify right side
    9,378.46x = 97,394,340.15
  5. Step 5: Solve for x
    x = 97,394,340.15/9,378.46
  6. Step 6: Final answer
    x = 10,384.90

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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.