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Finding the Fourth Proportional to 10,429.57, 14,389.14 and 5,950.09

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Solution

The fourth proportional to 10,429.57, 14,389.14 and 5,950.09 is: 8,209.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.57 : 14,389.14 = 5,950.09 : x
  2. Step 2: Convert to fraction form
    10,429.57/14,389.14 = 5,950.09/x
  3. Step 3: Cross multiply
    10,429.57x = 14,389.14 × 5,950.09
  4. Step 4: Simplify right side
    10,429.57x = 85,616,678.02
  5. Step 5: Solve for x
    x = 85,616,678.02/10,429.57
  6. Step 6: Final answer
    x = 8,209.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.