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Finding the Fourth Proportional to 9,107, 12,563.22 and 5,564.04

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Solution

The fourth proportional to 9,107, 12,563.22 and 5,564.04 is: 7,675.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107 : 12,563.22 = 5,564.04 : x
  2. Step 2: Convert to fraction form
    9,107/12,563.22 = 5,564.04/x
  3. Step 3: Cross multiply
    9,107x = 12,563.22 × 5,564.04
  4. Step 4: Simplify right side
    9,107x = 69,902,258.61
  5. Step 5: Solve for x
    x = 69,902,258.61/9,107
  6. Step 6: Final answer
    x = 7,675.66

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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.