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Finding the Fourth Proportional to 9,563.45, 14,249.05 and 9,026.29

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Solution

The fourth proportional to 9,563.45, 14,249.05 and 9,026.29 is: 13,448.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.45 : 14,249.05 = 9,026.29 : x
  2. Step 2: Convert to fraction form
    9,563.45/14,249.05 = 9,026.29/x
  3. Step 3: Cross multiply
    9,563.45x = 14,249.05 × 9,026.29
  4. Step 4: Simplify right side
    9,563.45x = 128,615,999.34
  5. Step 5: Solve for x
    x = 128,615,999.34/9,563.45
  6. Step 6: Final answer
    x = 13,448.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.