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Finding the Fourth Proportional to 10,062.99, 13,893.19 and 9,435.38

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Solution

The fourth proportional to 10,062.99, 13,893.19 and 9,435.38 is: 13,026.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.99 : 13,893.19 = 9,435.38 : x
  2. Step 2: Convert to fraction form
    10,062.99/13,893.19 = 9,435.38/x
  3. Step 3: Cross multiply
    10,062.99x = 13,893.19 × 9,435.38
  4. Step 4: Simplify right side
    10,062.99x = 131,087,434.01
  5. Step 5: Solve for x
    x = 131,087,434.01/10,062.99
  6. Step 6: Final answer
    x = 13,026.69

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Why These Related Problems?

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