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Finding the Fourth Proportional to 10,333.44, 15,484.77 and 9,165.83

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Solution

The fourth proportional to 10,333.44, 15,484.77 and 9,165.83 is: 13,735.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333.44 : 15,484.77 = 9,165.83 : x
  2. Step 2: Convert to fraction form
    10,333.44/15,484.77 = 9,165.83/x
  3. Step 3: Cross multiply
    10,333.44x = 15,484.77 × 9,165.83
  4. Step 4: Simplify right side
    10,333.44x = 141,930,691.99
  5. Step 5: Solve for x
    x = 141,930,691.99/10,333.44
  6. Step 6: Final answer
    x = 13,735.09

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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.