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Finding the Fourth Proportional to 9,811.24, 14,719.02 and 9,380.68

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Solution

The fourth proportional to 9,811.24, 14,719.02 and 9,380.68 is: 14,073.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.24 : 14,719.02 = 9,380.68 : x
  2. Step 2: Convert to fraction form
    9,811.24/14,719.02 = 9,380.68/x
  3. Step 3: Cross multiply
    9,811.24x = 14,719.02 × 9,380.68
  4. Step 4: Simplify right side
    9,811.24x = 138,074,416.53
  5. Step 5: Solve for x
    x = 138,074,416.53/9,811.24
  6. Step 6: Final answer
    x = 14,073.09

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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.