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Finding the Fourth Proportional to 9,622.34, 13,277.82 and 5,588.38

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Solution

The fourth proportional to 9,622.34, 13,277.82 and 5,588.38 is: 7,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.34 : 13,277.82 = 5,588.38 : x
  2. Step 2: Convert to fraction form
    9,622.34/13,277.82 = 5,588.38/x
  3. Step 3: Cross multiply
    9,622.34x = 13,277.82 × 5,588.38
  4. Step 4: Simplify right side
    9,622.34x = 74,201,503.73
  5. Step 5: Solve for x
    x = 74,201,503.73/9,622.34
  6. Step 6: Final answer
    x = 7,711.38

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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.