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Finding the Fourth Proportional to 9,110.43, 13,666.49 and 3,564.21

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Solution

The fourth proportional to 9,110.43, 13,666.49 and 3,564.21 is: 5,346.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,110.43 : 13,666.49 = 3,564.21 : x
  2. Step 2: Convert to fraction form
    9,110.43/13,666.49 = 3,564.21/x
  3. Step 3: Cross multiply
    9,110.43x = 13,666.49 × 3,564.21
  4. Step 4: Simplify right side
    9,110.43x = 48,710,222.50
  5. Step 5: Solve for x
    x = 48,710,222.50/9,110.43
  6. Step 6: Final answer
    x = 5,346.64

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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.