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Finding the Fourth Proportional to 9,381.76, 14,074.26 and 4,187.44

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Solution

The fourth proportional to 9,381.76, 14,074.26 and 4,187.44 is: 6,281.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.76 : 14,074.26 = 4,187.44 : x
  2. Step 2: Convert to fraction form
    9,381.76/14,074.26 = 4,187.44/x
  3. Step 3: Cross multiply
    9,381.76x = 14,074.26 × 4,187.44
  4. Step 4: Simplify right side
    9,381.76x = 58,935,119.29
  5. Step 5: Solve for x
    x = 58,935,119.29/9,381.76
  6. Step 6: Final answer
    x = 6,281.88

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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.