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Finding the Fourth Proportional to 9,107.41, 13,662.85 and 3,560.41

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Solution

The fourth proportional to 9,107.41, 13,662.85 and 3,560.41 is: 5,341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.41 : 13,662.85 = 3,560.41 : x
  2. Step 2: Convert to fraction form
    9,107.41/13,662.85 = 3,560.41/x
  3. Step 3: Cross multiply
    9,107.41x = 13,662.85 × 3,560.41
  4. Step 4: Simplify right side
    9,107.41x = 48,645,347.77
  5. Step 5: Solve for x
    x = 48,645,347.77/9,107.41
  6. Step 6: Final answer
    x = 5,341.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.