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Finding the Fourth Proportional to 10,950.62, 16,410.78 and 9,486.14

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Solution

The fourth proportional to 10,950.62, 16,410.78 and 9,486.14 is: 14,216.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.62 : 16,410.78 = 9,486.14 : x
  2. Step 2: Convert to fraction form
    10,950.62/16,410.78 = 9,486.14/x
  3. Step 3: Cross multiply
    10,950.62x = 16,410.78 × 9,486.14
  4. Step 4: Simplify right side
    10,950.62x = 155,674,956.59
  5. Step 5: Solve for x
    x = 155,674,956.59/10,950.62
  6. Step 6: Final answer
    x = 14,216.09

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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.