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Finding the Fourth Proportional to 9,322.99, 13,989.35 and 3,780.43

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Solution

The fourth proportional to 9,322.99, 13,989.35 and 3,780.43 is: 5,672.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.99 : 13,989.35 = 3,780.43 : x
  2. Step 2: Convert to fraction form
    9,322.99/13,989.35 = 3,780.43/x
  3. Step 3: Cross multiply
    9,322.99x = 13,989.35 × 3,780.43
  4. Step 4: Simplify right side
    9,322.99x = 52,885,758.42
  5. Step 5: Solve for x
    x = 52,885,758.42/9,322.99
  6. Step 6: Final answer
    x = 5,672.62

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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.